If you are being highly technical, the Queen does by virtue of being monarch, just as she owns every piece of land in the Kingdoms. What we call landowners are merely people who she allows to have the land 'freehold' with quiet enjoyment, holding it free of interference.
But, that bit of legal history aside, you'll find that every mountain is owned freehold by some legal personality: a company, partnership, trust, individual, or office (The Bishop of Norwich is probably a personality for this purpose, and I don't even know the man)