90255837168 has 320 divisors, whose sum is σ = 306068505600. Its totient is φ = 24931722240.

The previous prime is 90255837157. The next prime is 90255837239. The reversal of 90255837168 is 86173855209.

It is a super-2 number, since 2×90255837168² (a number of 23 digits) contains 22 as substring.

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

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, 10879230 + ... + 10887522.

It is an arithmetic number, because the mean of its divisors is an integer number (956464080).

Almost surely, 2^90255837168 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 90255837168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153034252800).

90255837168 is an abundant number, since it is smaller than the sum of its proper divisors (215812668432).

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

90255837168 is a wasteful number, since it uses less digits than its factorization.

90255837168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8437 (or 8425 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 90255837168 in words is "ninety billion, two hundred fifty-five million, eight hundred thirty-seven thousand, one hundred sixty-eight".