90912176160 has 384 divisors, whose sum is σ = 314085703680. Its totient is φ = 21969432576.

The previous prime is 90912176141. The next prime is 90912176209. The reversal of 90912176160 is 6167121909.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109929667 + ... + 109930493.

It is an arithmetic number, because the mean of its divisors is an integer number (817931520).

Almost surely, 2^90912176160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90912176160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157042851840).

90912176160 is an abundant number, since it is smaller than the sum of its proper divisors (223173527520).

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

90912176160 is a wasteful number, since it uses less digits than its factorization.

90912176160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The spelling of 90912176160 in words is "ninety billion, nine hundred twelve million, one hundred seventy-six thousand, one hundred sixty".