10900491264 has 264 divisors, whose sum is σ = 34826347920. Its totient is φ = 3262021632.

The previous prime is 10900491257. The next prime is 10900491289. The reversal of 10900491264 is 46219400901.

It is a happy number.

10900491264 is a `hidden beast` number, since 109 + 0 + 0 + 491 + 2 + 64 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 4431667 + ... + 4434125.

Almost surely, 2^10900491264 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 10900491264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17413173960).

10900491264 is an abundant number, since it is smaller than the sum of its proper divisors (23925856656).

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

10900491264 is a wasteful number, since it uses less digits than its factorization.

10900491264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10900491264 in words is "ten billion, nine hundred million, four hundred ninety-one thousand, two hundred sixty-four".