The Collaborative International Dictionary of English v.0.48:

Despicableness \Des"pi*ca*ble*ness\, n.
   The quality of being despicable; meanness; vileness;
   worthlessness.
   [1913 Webster]

WordNet (r) 3.0 (2006):

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