CBS sets Letterman's last show for May 20

More than 32 years of late-night talk will pass into history next May 20, with CBS' announcement Wednesday that David Letterman will host his final "Late Show" that day.

If he makes all of his broadcasts between now and then, he'll have hosted 6,028 versions of the "Late Show" and its NBC predecessor "Late Night," according to The Associated Press.

Stephen Colbert of Comedy Central is poised to step in as Letterman's replacement.

Read more from The Associated Press.