90815211072 has 112 divisors (see below), whose sum is σ = 271356937600. Its totient is φ = 29775444480.

The previous prime is 90815211023. The next prime is 90815211083. The reversal of 90815211072 is 27011251809.

It is a happy number.

It is a super-2 number, since 2×90815211072² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325372 + ... + 536187.

It is an arithmetic number, because the mean of its divisors is an integer number (2422829800).

Almost surely, 2^90815211072 is an apocalyptic number.

It is an amenable number.

90815211072 is an abundant number, since it is smaller than the sum of its proper divisors (180541726528).

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

90815211072 is a wasteful number, since it uses less digits than its factorization.

90815211072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861641 (or 861625 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 90815211072 in words is "ninety billion, eight hundred fifteen million, two hundred eleven thousand, seventy-two".