257965951747128 has 64 divisors (see below), whose sum is σ = 678863130240000. Its totient is φ = 81462288632832.

The previous prime is 257965951747111. The next prime is 257965951747139. The reversal of 257965951747128 is 821747159569752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57292776 + ... + 61631112.

It is an arithmetic number, because the mean of its divisors is an integer number (10607236410000).

Almost surely, 2^{257965951747128} is an apocalyptic number.

It is an amenable number.

257965951747128 is an abundant number, since it is smaller than the sum of its proper divisors (420897178492872).

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

257965951747128 is a wasteful number, since it uses less digits than its factorization.

257965951747128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4468764 (or 4468760 counting only the distinct ones).

The product of its digits is 2667168000, while the sum is 78.

The spelling of 257965951747128 in words is "two hundred fifty-seven trillion, nine hundred sixty-five billion, nine hundred fifty-one million, seven hundred forty-seven thousand, one hundred twenty-eight".