Tagomago, just off Ibiza's east coast, is a private island where the super rich come for privacy. At US$18,500 a night and only 5 minutes by boat from Santa Eulària, guests have full use of the plush villa which accommodates up to 10 people and comes with a massive outdoor pool, sauna, whirlpool and helicopter transfers, as well as nine staff members, including two chefs, a butler, maids, a boat captain and a gardener. On the edge of the island, there's a lighthouse built over 100 years ago and still in use.

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