How many words can you make with these letter asdaylightsuffersnighttimerecollects?

The answer to a question that begins "how many?" has to be a number. The number that answers this question will be very large because all the most common letters of English are in that series of letters. In fact, all the letters of the alphabet are there except these:

b j k p q v w x z

So the number is going to be very high, probably in the tens of thousands.