257979956976 has 240 divisors, whose sum is σ = 852650506240. Its totient is φ = 71254909440.

The previous prime is 257979956959. The next prime is 257979956977. The reversal of 257979956976 is 679659979752.

It is a super-2 number, since 2×257979956976² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257979956895 and 257979956904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257979956977) 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, 33400251 + ... + 33407973.

Almost surely, 2^257979956976 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 257979956976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426325253120).

257979956976 is an abundant number, since it is smaller than the sum of its proper divisors (594670549264).

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

257979956976 is a wasteful number, since it uses less digits than its factorization.

257979956976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8844 (or 8835 counting only the distinct ones).

The product of its digits is 4050761400, while the sum is 81.

The spelling of 257979956976 in words is "two hundred fifty-seven billion, nine hundred seventy-nine million, nine hundred fifty-six thousand, nine hundred seventy-six".