This study investigates the effects of non-commutative geometry on black hole properties. The researchers analyze the thermodynamic properties of a non-commutative black hole, including entropy, heat capacity, and Hawking radiation. They use two methods to calculate Hawking radiation: surface gravity and the topological approach. The study also examines the emission rate and remnant mass of the black hole, finding that its lifetime after evaporation can be expressed analytically up to a grey-body factor. The researchers estimate the black hole's lifetime for specific initial and final mass configurations. Additionally, the study analyzes tensorial quasinormal modes using the 6th-order WKB method. They also examine gravitational lensing in both the weak and strong deflection limits. The results show that the non-commutative parameter affects the deflection angle, with higher values of the parameter leading to smaller deflection angles. The study presents a non-commutative black hole solution with two horizons: an event horizon and a Cauchy horizon. The researchers calculate the Hawking temperature using two methods and compare the results with the Schwarzschild black hole. They also calculate the entropy and heat capacity of the black hole and compare them with the Schwarzschild case. The study finds that the non-commutative parameter influences the black hole's thermodynamic properties and gravitational lensing. The results suggest that non-commutative geometry can significantly affect black hole behavior, providing new insights into the nature of black holes and their interactions with spacetime. The study concludes that further research is needed to fully understand the implications of non-commutative geometry on black hole properties.This study investigates the effects of non-commutative geometry on black hole properties. The researchers analyze the thermodynamic properties of a non-commutative black hole, including entropy, heat capacity, and Hawking radiation. They use two methods to calculate Hawking radiation: surface gravity and the topological approach. The study also examines the emission rate and remnant mass of the black hole, finding that its lifetime after evaporation can be expressed analytically up to a grey-body factor. The researchers estimate the black hole's lifetime for specific initial and final mass configurations. Additionally, the study analyzes tensorial quasinormal modes using the 6th-order WKB method. They also examine gravitational lensing in both the weak and strong deflection limits. The results show that the non-commutative parameter affects the deflection angle, with higher values of the parameter leading to smaller deflection angles. The study presents a non-commutative black hole solution with two horizons: an event horizon and a Cauchy horizon. The researchers calculate the Hawking temperature using two methods and compare the results with the Schwarzschild black hole. They also calculate the entropy and heat capacity of the black hole and compare them with the Schwarzschild case. The study finds that the non-commutative parameter influences the black hole's thermodynamic properties and gravitational lensing. The results suggest that non-commutative geometry can significantly affect black hole behavior, providing new insights into the nature of black holes and their interactions with spacetime. The study concludes that further research is needed to fully understand the implications of non-commutative geometry on black hole properties.