* Physical form: Sauron's physical form, which had been embodied in the One Ring, is completely destroyed. He can no longer exist in the physical realm.
* Spiritual essence: While Sauron's spirit was tied to the Ring, it was also tied to his physical form. With the Ring's destruction, his spirit is also extinguished.
* Influence: His remaining power and influence over his servants and creatures crumbles. They are left without a master and begin to fight amongst themselves or flee.
* Dominion over Mordor: Mordor, Sauron's stronghold, falls into ruin. The land is no longer sustained by his dark power and begins to heal.
Essentially, Sauron's defeat is complete and final. There is no lingering threat, no chance of resurrection, and no possibility of his return.
It's important to note that Tolkien's text is not explicit about what happens to Sauron's spirit after his physical form is destroyed. However, the overall narrative and the context of the story suggest that his destruction is permanent.