Abaddon is most commonly played as a support hero, but with the capability to transition into a semi-carry in the late game.
He has a heal, a slow, and an ultimate which heals himself as he takes damage for a short duration, but his most vital ability is Aphotic Shield, which allows Abaddon to shield himself or an allied hero, purging most debuffs and stuns and absorbing damage before exploding back in the faces of enemy units.
Skills
Mist Coil is maxed second.
Aphotic Shield is skilled and maxed first. Use it to remove disables/stuns from allies or to help tank.
Curse of Avernus is maxed last, although an early point can be useful for zoning out lane opponents.
Borrowed Time is always skilled (levels 6, 11 and 16).
Items
Starting Items: Courier and/or Observer Wards, Tangos, Healing Salve, Iron Branches, Clarity.
Early Game: Observer Wards, Flying Courier, Boots of Speed, Magic Wand.
Core Items: Arcane Boots, Mekanism.
Luxury Items: Drums of Endurance, Vladmir's Offering, Necronomicon, Heaven's Halberd, Assault Cuirass, Scythe of Vyse.
Situational Items: Gem, Dust, Sentry Wards (vision), Smoke (ganking), Ghost Scepter (physical immunity), Skull Basher into Abyssal Blade (lockdown, semi-carry transition), Aghanim's Scepter (being focussed in fights), Crimson Guard (tank up whilst adding utility).