90557126866656 has 120 divisors (see below), whose sum is σ = 266355849851784. Its totient is φ = 30182325131520.

The previous prime is 90557126866603. The next prime is 90557126866667. The reversal of 90557126866656 is 65666862175509.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21221311 + ... + 25128833.

Almost surely, 2^{90557126866656} is an apocalyptic number.

90557126866656 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

90557126866656 is an abundant number, since it is smaller than the sum of its proper divisors (175798722985128).

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

90557126866656 is a wasteful number, since it uses less digits than its factorization.

90557126866656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3916486 (or 3916469 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 72.

The spelling of 90557126866656 in words is "ninety trillion, five hundred fifty-seven billion, one hundred twenty-six million, eight hundred sixty-six thousand, six hundred fifty-six".