257659956752 has 20 divisors (see below), whose sum is σ = 544599454416. Its totient is φ = 117118162080.

The previous prime is 257659956751. The next prime is 257659956773.

It is a happy number.

257659956752 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (257659956751) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 731988338 + ... + 731988689.

Almost surely, 2^257659956752 is an apocalyptic number.

257659956752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

257659956752 is an abundant number, since it is smaller than the sum of its proper divisors (286939497664).

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

257659956752 is a wasteful number, since it uses less digits than its factorization.

257659956752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463977046 (or 1463977040 counting only the distinct ones).

The product of its digits is 357210000, while the sum is 68.

The spelling of 257659956752 in words is "two hundred fifty-seven billion, six hundred fifty-nine million, nine hundred fifty-six thousand, seven hundred fifty-two".