2
The dictionary seems rather complete: we don't get to know how many words there are, but its file-size of 156 mb bodes well, and it offers 7,000 entries for words starting with 'e', 17,000 for words starting with 'c' ('entries' includes grammatical variants of the same word), so perhaps the total is between about 200,000 and 400,000. I didn't find antidisestablishmentarianism, though I did find not only phlogiston, but also floccinaucinihilipilification, complete with an notation that shows it has 12 syllables, and a guide showing that the double-c is pronounced '-ks'.

It also gave me the invaluable information that Eton is an English public school; and although there was sadly nothing to encourage me to double-click on public, when I did so I came to an excellent article which explains that an English public school is a 'private for-fee secondary school', and gives the historical background to explain why that makes sense.