257996699752 has 32 divisors (see below), whose sum is σ = 558762909120. Its totient is φ = 110372919040.

The previous prime is 257996699731. The next prime is 257996699773.

257996699752 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (257996699731) and next prime (257996699773).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86227348 + ... + 86230339.

It is an arithmetic number, because the mean of its divisors is an integer number (17461340910).

Almost surely, 2^257996699752 is an apocalyptic number.

257996699752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

257996699752 is an abundant number, since it is smaller than the sum of its proper divisors (300766209368).

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

257996699752 is a wasteful number, since it uses less digits than its factorization.

257996699752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172457721 (or 172457717 counting only the distinct ones).

The product of its digits is 1157360400, while the sum is 76.

The spelling of 257996699752 in words is "two hundred fifty-seven billion, nine hundred ninety-six million, six hundred ninety-nine thousand, seven hundred fifty-two".