90507566880 has 72 divisors (see below), whose sum is σ = 308857076892. Its totient is φ = 24135350784.

The previous prime is 90507566839. The next prime is 90507566899. The reversal of 90507566880 is 8866570509.

90507566880 is a `hidden beast` number, since 9 + 0 + 507 + 56 + 6 + 8 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 90151263504 + 356303376 = 300252^2 + 18876^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31424799 + ... + 31427678.

Almost surely, 2^90507566880 is an apocalyptic number.

90507566880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90507566880 is an abundant number, since it is smaller than the sum of its proper divisors (218349510012).

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

90507566880 is a wasteful number, since it uses less digits than its factorization.

90507566880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62852498 (or 62852487 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 90507566880 in words is "ninety billion, five hundred seven million, five hundred sixty-six thousand, eight hundred eighty".