90907925040 has 240 divisors, whose sum is σ = 322157684160. Its totient is φ = 22927196160.

The previous prime is 90907925023. The next prime is 90907925077. The reversal of 90907925040 is 4052970909.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1443000 + ... + 1504680.

It is an arithmetic number, because the mean of its divisors is an integer number (1342323684).

Almost surely, 2^90907925040 is an apocalyptic number.

90907925040 is a gapful number since it is divisible by the number (90) 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 90907925040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161078842080).

90907925040 is an abundant number, since it is smaller than the sum of its proper divisors (231249759120).

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

90907925040 is a wasteful number, since it uses less digits than its factorization.

90907925040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61812 (or 61803 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 90907925040 in words is "ninety billion, nine hundred seven million, nine hundred twenty-five thousand, forty".