90031005696 has 448 divisors, whose sum is σ = 269509524480. Its totient is φ = 26601062400.

The previous prime is 90031005689. The next prime is 90031005751. The reversal of 90031005696 is 69650013009.

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 31 ways as a sum of consecutive naturals, for example, 891396046 + ... + 891396146.

It is an arithmetic number, because the mean of its divisors is an integer number (601583760).

Almost surely, 2^90031005696 is an apocalyptic number.

90031005696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90031005696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134754762240).

90031005696 is an abundant number, since it is smaller than the sum of its proper divisors (179478518784).

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

90031005696 is a wasteful number, since it uses less digits than its factorization.

90031005696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

The spelling of 90031005696 in words is "ninety billion, thirty-one million, five thousand, six hundred ninety-six".