I thought you said "pretty much infinite". Either way, neither "essentially infinite" nor "pretty much infinite" is a meaningful concept (I can just picture inf

I thought you said "pretty much infinite". Either way, neither "essentially infinite" nor "pretty much infinite" is a meaningful concept (I can just picture infinity, off at the nonexistent end of the number line, laughing at the puny numbers you describe as "essentially infinite"), so it'd be better to just rephrase it as "really really big", with as many "really"s as you feel is appropriate.