The word illogicalities 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: 22
Highest Scoring Words With Friends™ Play In The Letters illogicalities
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Seven Letter Word Alert: (47 words)
aiglets, alcogel, alecost, allelic, aloetic, cagiest, callose, castile, catelog, cellist, celosia, ciliate, coalise, coalite, colitis, collage, collate, collies, elastic, elicits, elogist, gelatos, goalies, ileitis, illegal, illicit, illites, illitic, illogic, iolites, isolate, italics, laciest, lactose, laicise, ligates, locales, locates, logical, oiliest, oligist, silicle, solicit, stoical, tallies, tillage, tollage