85690920523824 has 1920 divisors, whose sum is σ = 328242927108096. Its totient is φ = 20211130368000.

The previous prime is 85690920523823. The next prime is 85690920523829. The reversal of 85690920523824 is 42832502909658.

85690920523824 is a `hidden beast` number, since 8 + 5 + 6 + 9 + 0 + 9 + 20 + 523 + 82 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (85690920523823) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 100458288582 + ... + 100458289434.

Almost surely, 2^{85690920523824} is an apocalyptic number.

85690920523824 is a gapful number since it is divisible by the number (84) 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 85690920523824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164121463554048).

85690920523824 is an abundant number, since it is smaller than the sum of its proper divisors (242552006584272).

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

85690920523824 is a wasteful number, since it uses less digits than its factorization.

85690920523824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 85690920523824 in words is "eighty-five trillion, six hundred ninety billion, nine hundred twenty million, five hundred twenty-three thousand, eight hundred twenty-four".