The Eurocopter has landed on Everest, and - even more impressively - managed to take off.:

A French helicopter piloted by Didier Delsalle has landed on the top of Mt Everest.
This is an incredible feat and sets a new world record for the highest
helicopter landing/takeoff. Coverage of the story seems to have been
supressed somewhat due to the fact that the French expedition team did
not actually have a permit to land on Everest and so did not announce
their feat until safely back in France. In fact, according to this (report from nepalnews.com)
it looks like the Nepalese government is denying the landing at all and
there was some controversy over whether the helicopter actually landed
on the summit. However, eyewitness accounts from several expeditions on
the mountain at the time and a compelling video shot from the
helicopter seems to have dispelled all doubts.

The press release, video and photos are here.