Syllable division derived from spelling — this word is not in the pronouncing dictionary, so no phonetic transcription is shown rather than a guessed one.
indispensableness is a noun meaning "the quality possessed by something that you cannot possibly do without". It carries one recorded sense.
the quality possessed by something that you cannot possibly do without
Forms marked · are formed by the regular rule rather than recorded in the source data. English keeps a few hundred irregulars and the rest follow the pattern, so the rule is right far more often than not — but it is a rule, and the mark says so.
Definitions, synonyms and semantic relations for indispensableness come from Princeton University’s WordNet. Commonness is measured against a corpus of everyday English. Full sources and licences.