257897893617 has 48 divisors (see below), whose sum is σ = 470876689920. Its totient is φ = 132357442176.

The previous prime is 257897893529. The next prime is 257897893633. The reversal of 257897893617 is 716398798752.

257897893617 is a `hidden beast` number, since 2 + 578 + 9 + 7 + 8 + 9 + 36 + 17 = 666.

It is not a de Polignac number, because 257897893617 - 2¹¹ = 257897891569 is a prime.

It is a super-2 number, since 2×257897893617² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257897893637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4225017 + ... + 4285622.

It is an arithmetic number, because the mean of its divisors is an integer number (9809931040).

Almost surely, 2^257897893617 is an apocalyptic number.

It is an amenable number.

257897893617 is a deficient number, since it is larger than the sum of its proper divisors (212978796303).

257897893617 is a wasteful number, since it uses less digits than its factorization.

257897893617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8510702 (or 8510699 counting only the distinct ones).

The product of its digits is 320060160, while the sum is 72.

The spelling of 257897893617 in words is "two hundred fifty-seven billion, eight hundred ninety-seven million, eight hundred ninety-three thousand, six hundred seventeen".