Nikon D500 has a Nikon F lens mount and currently there are 309 native lenses available for this mount.
Nikon D500 doesn't have a sensor based image stabilization system but 106 of these lenses already comes with optical image stabilization.
Since Nikon D500 has a APS-C sensor, it has a focal length multiplier of 1.5x 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 D500.
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Nikon D500 Lenses with Image Stabilization
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