85665952000 has 144 divisors (see below), whose sum is σ = 219175315632. Its totient is φ = 33339801600.

The previous prime is 85665951979. The next prime is 85665952013. The reversal of 85665952000 is 25956658.

It can be written as a sum of positive squares in 8 ways, for example, as 429981696 + 85235970304 = 20736^2 + 291952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1147824 + ... + 1220176.

It is an arithmetic number, because the mean of its divisors is an integer number (1522050803).

Almost surely, 2^85665952000 is an apocalyptic number.

85665952000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85665952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109587657816).

85665952000 is an abundant number, since it is smaller than the sum of its proper divisors (133509363632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85665952000 is an equidigital number, since it uses as much as digits as its factorization.

85665952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72421 (or 72397 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 46.

The spelling of 85665952000 in words is "eighty-five billion, six hundred sixty-five million, nine hundred fifty-two thousand".