To a very great degree; extremely or enormously.
From the adjective 'huge' (from Old French 'ahuge'), meaning very large, plus the adverb-forming suffix '-ly' which comes from Old English 'lic' meaning 'like.'
Adverbs like 'hugely' are intensifiers that make emotions and descriptions more dramatic—which is why your friends might say 'that movie was hugely awesome' when they really mean it!
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