85924955520 has 640 divisors, whose sum is σ = 325236384000. Its totient is φ = 21646891008.

The previous prime is 85924955477. The next prime is 85924955551. The reversal of 85924955520 is 2555942958.

85924955520 is a `hidden beast` number, since 8 + 5 + 9 + 24 + 95 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×85924955520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 239345101 + ... + 239345459.

It is an arithmetic number, because the mean of its divisors is an integer number (508181850).

Almost surely, 2^85924955520 is an apocalyptic number.

85924955520 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 85924955520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162618192000).

85924955520 is an abundant number, since it is smaller than the sum of its proper divisors (239311428480).

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

85924955520 is an frugal number, since it uses more digits than its factorization.

85924955520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 85924955520 in words is "eighty-five billion, nine hundred twenty-four million, nine hundred fifty-five thousand, five hundred twenty".