10257886404 has 72 divisors (see below), whose sum is σ = 26088934872. Its totient is φ = 3398353920.

The previous prime is 10257886367. The next prime is 10257886417. The reversal of 10257886404 is 40468875201.

10257886404 is a `hidden beast` number, since 10 + 2 + 578 + 8 + 64 + 0 + 4 = 666.

10257886404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6360381504 + 3897504900 = 79752^2 + 62430^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10257886404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6358702 + ... + 6360314.

Almost surely, 2^10257886404 is an apocalyptic number.

It is an amenable number.

10257886404 is an abundant number, since it is smaller than the sum of its proper divisors (15831048468).

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

10257886404 is a wasteful number, since it uses less digits than its factorization.

10257886404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 10257886404 in words is "ten billion, two hundred fifty-seven million, eight hundred eighty-six thousand, four hundred four".