257349251376 has 120 divisors (see below), whose sum is σ = 823235761920. Its totient is φ = 73517044608.

The previous prime is 257349251359. The next prime is 257349251381. The reversal of 257349251376 is 673152943752.

257349251376 is a `hidden beast` number, since 2 + 5 + 7 + 34 + 92 + 513 + 7 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 8269221 + ... + 8300283.

It is an arithmetic number, because the mean of its divisors is an integer number (6860298016).

Almost surely, 2^257349251376 is an apocalyptic number.

It is an amenable number.

257349251376 is an abundant number, since it is smaller than the sum of its proper divisors (565886510544).

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

257349251376 is a wasteful number, since it uses less digits than its factorization.

257349251376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39303 (or 39294 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 54.

The spelling of 257349251376 in words is "two hundred fifty-seven billion, three hundred forty-nine million, two hundred fifty-one thousand, three hundred seventy-six".