257940749261856 has 96 divisors (see below), whose sum is σ = 677492040859200. Its totient is φ = 85929778953216.

The previous prime is 257940749261843. The next prime is 257940749261887. The reversal of 257940749261856 is 658162947049752.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1150643670 + ... + 1150867818.

It is an arithmetic number, because the mean of its divisors is an integer number (7057208758950).

Almost surely, 2^{257940749261856} is an apocalyptic number.

It is an amenable number.

257940749261856 is an abundant number, since it is smaller than the sum of its proper divisors (419551291597344).

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

257940749261856 is a wasteful number, since it uses less digits than its factorization.

257940749261856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231146 (or 231138 counting only the distinct ones).

The product of its (nonzero) digits is 1828915200, while the sum is 75.

The spelling of 257940749261856 in words is "two hundred fifty-seven trillion, nine hundred forty billion, seven hundred forty-nine million, two hundred sixty-one thousand, eight hundred fifty-six".