The　popularization　of　electric　vehicles　drives　the　extensive　use　of　power　lithium-ion　batteries　(LIBs)　and　their　abandonment　after　retirement.　Spent　power　LIBs　have　a　high　economic　value　because　they　contain　valuable　metals　which　need　to　be　recovered.　In　this　study,　the　separation　and　comprehensive　recovery　of　valuable　metallic　elements,　including　Co,　Ni,　and　Li,　from　spent　power　LIBs　were　realized　by　a　hydrometallurgical　process　of　＂calcination-leaching-synergistic　extraction-synthesis＂.　The　results　showed　that,　under　the　optimal　conditions,　the　extraction　efficiencies　of　impurities,　such　as　Al　and　Cu,　by　P204　were　91%　and　90%,　respectively.　A　P507-N235　synergistic　system　was　proposed　to　extract　Co　over　Ni　and　Li　with　the　maximum　synergistic　coefficient　of　12.6.　The　extraction　efficiency　of　Co,　Ni,　and　Li　was　99.5%,　3.9%,　and　9.7%,　respectively,　and　the　separation　coefficients　of　beta(Co/Ni)　and　beta(Co/Li)　were　200.6　and　300.3,　respectively.　Cobalt　oxalate,　nickel　oxalate,　and　lithium　carbonate　were　finally　obtained.　Comprehensive　recovery　of　valuable　metals　was　realized,　and　the　total　recovery　efficiency　of　Li,　Ni,　and　Co　was　84.1%,　93.1%,　and　96.5%,　respectively.　This　study　provides　positive　significance　for　the　improvement　of　cobalt　extraction　technology　and　comprehensive　recycling　efficiency　of　spent　power　LIBs.