257972409584930 has 32 divisors (see below), whose sum is σ = 464737053191040. Its totient is φ = 103103059973760.

The previous prime is 257972409584921. The next prime is 257972409584933. The reversal of 257972409584930 is 39485904279752.

It is not an unprimeable number, because it can be changed into a prime (257972409584933) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60528662 + ... + 64650318.

It is an arithmetic number, because the mean of its divisors is an integer number (14523032912220).

Almost surely, 2^{257972409584930} is an apocalyptic number.

257972409584930 is a deficient number, since it is larger than the sum of its proper divisors (206764643606110).

257972409584930 is a wasteful number, since it uses less digits than its factorization.

257972409584930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126874.

The product of its (nonzero) digits is 1371686400, while the sum is 74.

The spelling of 257972409584930 in words is "two hundred fifty-seven trillion, nine hundred seventy-two billion, four hundred nine million, five hundred eighty-four thousand, nine hundred thirty".