90299753856 has 640 divisors, whose sum is σ = 313195528800. Its totient is φ = 25583910912.

The previous prime is 90299753821. The next prime is 90299753857. The reversal of 90299753856 is 65835799209.

90299753856 is a `hidden beast` number, since 9 + 0 + 2 + 9 + 97 + 538 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 90299753793 and 90299753802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90299753857) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 94752676 + ... + 94753628.

Almost surely, 2^90299753856 is an apocalyptic number.

90299753856 is a gapful number since it is divisible by the number (96) 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 90299753856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156597764400).

90299753856 is an abundant number, since it is smaller than the sum of its proper divisors (222895774944).

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

90299753856 is a wasteful number, since it uses less digits than its factorization.

90299753856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 90299753856 in words is "ninety billion, two hundred ninety-nine million, seven hundred fifty-three thousand, eight hundred fifty-six".