90080683875 has 512 divisors, whose sum is σ = 221405184000. Its totient is φ = 35075980800.

The previous prime is 90080683843. The next prime is 90080683919. The reversal of 90080683875 is 57838608009.

It is a happy number.

It is not a de Polignac number, because 90080683875 - 2⁵ = 90080683843 is a prime.

It is a super-2 number, since 2×90080683875² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 250920946 + ... + 250921304.

It is an arithmetic number, because the mean of its divisors is an integer number (432432000).

Almost surely, 2^90080683875 is an apocalyptic number.

90080683875 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

90080683875 is an abundant number, since it is smaller than the sum of its proper divisors (131324500125).

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

90080683875 is a wasteful number, since it uses less digits than its factorization.

90080683875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 90080683875 in words is "ninety billion, eighty million, six hundred eighty-three thousand, eight hundred seventy-five".