257024940600960 has 4608 divisors, whose sum is σ = 1162116087552000. Its totient is φ = 53406274682880.

The previous prime is 257024940600937. The next prime is 257024940600973. The reversal of 257024940600960 is 69006049420752.

257024940600960 is a `hidden beast` number, since 2 + 5 + 7 + 0 + 2 + 494 + 0 + 60 + 0 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 257024940600897 and 257024940600906.

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 575 ways as a sum of consecutive naturals, for example, 2649741655632 + ... + 2649741655728.

It is an arithmetic number, because the mean of its divisors is an integer number (252195331500).

Almost surely, 2^{257024940600960} is an apocalyptic number.

257024940600960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257024940600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581058043776000).

257024940600960 is an abundant number, since it is smaller than the sum of its proper divisors (905091146951040).

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

257024940600960 is a wasteful number, since it uses less digits than its factorization.

257024940600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 257024940600960 in words is "two hundred fifty-seven trillion, twenty-four billion, nine hundred forty million, six hundred thousand, nine hundred sixty".