10890267264 has 240 divisors, whose sum is σ = 33519082410. Its totient is φ = 3509775360.

The previous prime is 10890267229. The next prime is 10890267277. The reversal of 10890267264 is 46276209801.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6102734400 + 4787532864 = 78120^2 + 69192^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9963102 + ... + 9964194.

Almost surely, 2^10890267264 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 10890267264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16759541205).

10890267264 is an abundant number, since it is smaller than the sum of its proper divisors (22628815146).

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

10890267264 is an equidigital number, since it uses as much as digits as its factorization.

10890267264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10890267264 in words is "ten billion, eight hundred ninety million, two hundred sixty-seven thousand, two hundred sixty-four".