Time for an extreme tangent: Our (Scandinavian) trolls, in myth at least, looked like humans except for the tail. They were also able to shift shape into different creatures and they were also invisible for everyone except those born at ~12 pm (the "ghost hour"). They were skilled magicians and very rich ("rich as a troll" is still a Swedish expression for "filthy rich"). They liked to switch their children for human children (essentially changelings). They also captured people from time to time; to escape it was easiest to sing a psalm or say a prayer, then they threw you out. They couldn't approach the sign of the cross or steel so there were ways to protect yourself against them. They also burst in sun light, they didn't turn to stone.
A sign of their knowledge of magic is that wizard in Swedish is "Trollkarl" (="Troll man" literally) and to do magic is known as "trolla" ("to troll" (not to be confused with internet behavious

)).
As trolls don't exist IRL your defenition is as good as any and I think there is a lot of cross referencing going on between trolls and giants in Scandinavian folklore but giants are closer to what you describe if you want to stay close to Scandinavian myth.