90059407264 has 24 divisors (see below), whose sum is σ = 187734133188. Its totient is φ = 42380897280.

The previous prime is 90059407261. The next prime is 90059407267. The reversal of 90059407264 is 46270495009.

It is an interprime number because it is at equal distance from previous prime (90059407261) and next prime (90059407267).

It can be written as a sum of positive squares in 2 ways, for example, as 86659584400 + 3399822864 = 294380^2 + 58308^2 .

It is a super-3 number, since 3×90059407264³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (90059407261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82774647 + ... + 82775734.

Almost surely, 2^90059407264 is an apocalyptic number.

It is an amenable number.

90059407264 is an abundant number, since it is smaller than the sum of its proper divisors (97674725924).

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

90059407264 is a wasteful number, since it uses less digits than its factorization.

90059407264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165550408 (or 165550400 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 90059407264 in words is "ninety billion, fifty-nine million, four hundred seven thousand, two hundred sixty-four".