Canon T6i has a Canon EF/EF-S lens mount and currently there are 326 native lenses available for this mount.
Canon T6i doesn't have a sensor based image stabilization system but 112 of these lenses already comes with optical image stabilization.
Since Canon T6i 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 T6i.
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Canon T6i Lenses with Image Stabilization
Canon T6i Lenses with Weather Sealings