Canon T6 has a Canon EF/EF-S lens mount and currently there are 299 native lenses available for this mount.
Canon T6 doesn't have a sensor based image stabilization system but 91 of these lenses already comes with optical image stabilization.
Since Canon T6 has a APS-C sensor, it has a focal length multiplier of 1.6x so you have to multiply lenses original focal length with this multiplier to find the Full Frame equivalent focal length of the lens when mounted on T6.
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Canon T6 Lenses with Image Stabilization
Canon T6 Lenses with Weather Sealings