10457861904 has 240 divisors, whose sum is σ = 36031217664. Its totient is φ = 2765664000.

The previous prime is 10457861879. The next prime is 10457861969. The reversal of 10457861904 is 40916875401.

10457861904 is a `hidden beast` number, since 1 + 0 + 457 + 8 + 6 + 190 + 4 = 666.

10457861904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10457861904.

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 47 ways as a sum of consecutive naturals, for example, 711429 + ... + 725979.

Almost surely, 2^10457861904 is an apocalyptic number.

10457861904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10457861904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18015608832).

10457861904 is an abundant number, since it is smaller than the sum of its proper divisors (25573355760).

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

10457861904 is a wasteful number, since it uses less digits than its factorization.

10457861904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14626 (or 14617 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10457861904 in words is "ten billion, four hundred fifty-seven million, eight hundred sixty-one thousand, nine hundred four".