257112956928 has 224 divisors, whose sum is σ = 750988856160. Its totient is φ = 77877739520.

The previous prime is 257112956921. The next prime is 257112956939. The reversal of 257112956928 is 829659211752.

It is a super-2 number, since 2×257112956928² (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 (257112956921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12105358 + ... + 12126578.

Almost surely, 2^257112956928 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 257112956928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375494428080).

257112956928 is an abundant number, since it is smaller than the sum of its proper divisors (493875899232).

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

257112956928 is a wasteful number, since it uses less digits than its factorization.

257112956928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21296 (or 21272 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 57.

The spelling of 257112956928 in words is "two hundred fifty-seven billion, one hundred twelve million, nine hundred fifty-six thousand, nine hundred twenty-eight".