90109638864 has 320 divisors, whose sum is σ = 323087892480. Its totient is φ = 23449098240.

The previous prime is 90109638841. The next prime is 90109638893. The reversal of 90109638864 is 46883690109.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 90109638864.

It is a congruent number.

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, 1565377 + ... + 1621919.

It is an arithmetic number, because the mean of its divisors is an integer number (1009649664).

Almost surely, 2^90109638864 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 90109638864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161543946240).

90109638864 is an abundant number, since it is smaller than the sum of its proper divisors (232978253616).

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

90109638864 is a wasteful number, since it uses less digits than its factorization.

90109638864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56615 (or 56603 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 90109638864 in words is "ninety billion, one hundred nine million, six hundred thirty-eight thousand, eight hundred sixty-four".