90083572880 has 160 divisors (see below), whose sum is σ = 242234496000. Its totient is φ = 30517272576.

The previous prime is 90083572879. The next prime is 90083572897. The reversal of 90083572880 is 8827538009.

It is a super-3 number, since 3×90083572880³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22082681 + ... + 22086759.

It is an arithmetic number, because the mean of its divisors is an integer number (1513965600).

Almost surely, 2^90083572880 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 90083572880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121117248000).

90083572880 is an abundant number, since it is smaller than the sum of its proper divisors (152150923120).

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

90083572880 is a wasteful number, since it uses less digits than its factorization.

90083572880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4561 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 50.

The spelling of 90083572880 in words is "ninety billion, eighty-three million, five hundred seventy-two thousand, eight hundred eighty".