The word pervasiveness is playable in Words With Friends™, no blanks required. Because it is longer than 7 letters, you would have to play off an existing word or do it in several moves.
Words With Friends™ Letter Score: 25
Highest Scoring Words With Friends™ Play In The Letters pervasiveness
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Seven Letter Word Alert: (37 words)
asepses, asepsis, asperse, aspires, ensears, enviers, evasive, inverse, pansies, paresis, passers, passive, peevers, penises, pensive, praises, presses, ravines, repaves, repines, resaves, resnaps, respans, respins, revises, revives, sassier, savvier, savvies, seepier, serapes, snipers, spireas, sprains, veneers, versine, vespers