The Collaborative International Dictionary of English v.0.48:

Despicability \Des`pi*ca*bil"i*ty\, n.
   Despicableness. [R.] --Carlyle.
   [1913 Webster]

WordNet (r) 3.0 (2006):

despicability
    n 1: unworthiness by virtue of lacking higher values [syn:
         baseness, sordidness, contemptibility,
         despicableness, despicability]