13057857000 has 96 divisors (see below), whose sum is σ = 44135587080. Its totient is φ = 3482092800.

The previous prime is 13057856993. The next prime is 13057857017. The reversal of 13057857000 is 75875031.

13057857000 is a `hidden beast` number, since 1 + 30 + 57 + 8 + 570 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2833007076 + 10224849924 = 53226^2 + 101118^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 716437 + ... + 734436.

Almost surely, 2^13057857000 is an apocalyptic number.

13057857000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13057857000 is an abundant number, since it is smaller than the sum of its proper divisors (31077730080).

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

13057857000 is a wasteful number, since it uses less digits than its factorization.

13057857000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450900 (or 1450883 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

It can be divided in two parts, 130578 and 57000, that added together give a triangular number (187578 = T₆₁₂).

The spelling of 13057857000 in words is "thirteen billion, fifty-seven million, eight hundred fifty-seven thousand".