257117971968 has 960 divisors, whose sum is σ = 924864804864. Its totient is φ = 67682304000.

The previous prime is 257117971963. The next prime is 257117971969. The reversal of 257117971968 is 869179711752.

It is a super-2 number, since 2×257117971968² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257117971961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 837517671 + ... + 837517977.

Almost surely, 2^257117971968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257117971968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462432402432).

257117971968 is an abundant number, since it is smaller than the sum of its proper divisors (667746832896).

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

257117971968 is a wasteful number, since it uses less digits than its factorization.

257117971968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 408 counting only the distinct ones).

The product of its digits is 13335840, while the sum is 63.

The spelling of 257117971968 in words is "two hundred fifty-seven billion, one hundred seventeen million, nine hundred seventy-one thousand, nine hundred sixty-eight".