90357153696 has 120 divisors (see below), whose sum is σ = 281369656260. Its totient is φ = 28347328512.

The previous prime is 90357153671. The next prime is 90357153727. The reversal of 90357153696 is 69635175309.

90357153696 is a `hidden beast` number, since 9 + 0 + 3 + 571 + 5 + 3 + 69 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86824515600 + 3532638096 = 294660^2 + 59436^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 981231 + ... + 1069358.

Almost surely, 2^90357153696 is an apocalyptic number.

90357153696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

90357153696 is an abundant number, since it is smaller than the sum of its proper divisors (191012502564).

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

90357153696 is a wasteful number, since it uses less digits than its factorization.

90357153696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050628 (or 2050611 counting only the distinct ones).

The product of its (nonzero) digits is 4592700, while the sum is 54.

The spelling of 90357153696 in words is "ninety billion, three hundred fifty-seven million, one hundred fifty-three thousand, six hundred ninety-six".