90050407056 has 135 divisors (see below), whose sum is σ = 267894689673. Its totient is φ = 28231902720.

The previous prime is 90050407019. The next prime is 90050407081. The reversal of 90050407056 is 65070405009.

The square root of 90050407056 is 300084.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 70108448400 + 19941958656 = 264780^2 + 141216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 90050407056.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 61216401 + ... + 61217871.

Almost surely, 2^90050407056 is an apocalyptic number.

90050407056 is the 300084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90050407056

90050407056 is an abundant number, since it is smaller than the sum of its proper divisors (177844282617).

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

90050407056 is a wasteful number, since it uses less digits than its factorization.

90050407056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2990 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Multiplying 90050407056 by its sum of digits (36), we get a square (3241814654016 = 1800504²).

90050407056 divided by its sum of digits (36) gives a square (2501400196 = 50014²).

The spelling of 90050407056 in words is "ninety billion, fifty million, four hundred seven thousand, fifty-six".