257889874948608 has 160 divisors (see below), whose sum is σ = 785192705700480. Its totient is φ = 73681869864960.

The previous prime is 257889874948477. The next prime is 257889874948613. The reversal of 257889874948608 is 806849478988752.

It is a super-2 number, since 2×257889874948608² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1654536598 + ... + 1654692458.

It is an arithmetic number, because the mean of its divisors is an integer number (4907454410628).

Almost surely, 2^{257889874948608} is an apocalyptic number.

257889874948608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

257889874948608 is an abundant number, since it is smaller than the sum of its proper divisors (527302830751872).

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

257889874948608 is a wasteful number, since it uses less digits than its factorization.

257889874948608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309778 (or 309762 counting only the distinct ones).

The product of its (nonzero) digits is 124853944320, while the sum is 93.

The spelling of 257889874948608 in words is "two hundred fifty-seven trillion, eight hundred eighty-nine billion, eight hundred seventy-four million, nine hundred forty-eight thousand, six hundred eight".