90900645160 has 96 divisors (see below), whose sum is σ = 226182378240. Its totient is φ = 32849087232.

The previous prime is 90900645151. The next prime is 90900645179. The reversal of 90900645160 is 6154600909.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174669 + ... + 460771.

It is an arithmetic number, because the mean of its divisors is an integer number (2356066440).

Almost surely, 2^90900645160 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 90900645160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113091189120).

90900645160 is an abundant number, since it is smaller than the sum of its proper divisors (135281733080).

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

90900645160 is a wasteful number, since it uses less digits than its factorization.

90900645160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286187 (or 286170 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The spelling of 90900645160 in words is "ninety billion, nine hundred million, six hundred forty-five thousand, one hundred sixty".