10257072264 has 48 divisors (see below), whose sum is σ = 29413666620. Its totient is φ = 3217904640.

The previous prime is 10257072257. The next prime is 10257072289. The reversal of 10257072264 is 46227075201.

It is a happy number.

10257072264 is a `hidden beast` number, since 1 + 0 + 2 + 570 + 7 + 22 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9842624100 + 414448164 = 99210^2 + 20358^2 .

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4188757 + ... + 4191204.

Almost surely, 2^10257072264 is an apocalyptic number.

It is an amenable number.

10257072264 is an abundant number, since it is smaller than the sum of its proper divisors (19156594356).

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

10257072264 is a wasteful number, since it uses less digits than its factorization.

10257072264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8379990 (or 8379983 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 10257072264 in words is "ten billion, two hundred fifty-seven million, seventy-two thousand, two hundred sixty-four".