85924952400 has 120 divisors (see below), whose sum is σ = 314567189824. Its totient is φ = 19639987200.

The previous prime is 85924952381. The next prime is 85924952437. The reversal of 85924952400 is 425942958.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 85924952400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5106181 + ... + 5122980.

Almost surely, 2^85924952400 is an apocalyptic number.

85924952400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85924952400 is an abundant number, since it is smaller than the sum of its proper divisors (228642237424).

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

85924952400 is a wasteful number, since it uses less digits than its factorization.

85924952400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10229189 (or 10229178 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 85924952400 in words is "eighty-five billion, nine hundred twenty-four million, nine hundred fifty-two thousand, four hundred".