257666464666752 has 32 divisors (see below), whose sum is σ = 684426546772080. Its totient is φ = 85888821555456.

The previous prime is 257666464666729. The next prime is 257666464666777.

It is a happy number.

257666464666752 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 335503208818 + ... + 335503209585.

Almost surely, 2^{257666464666752} is an apocalyptic number.

It is an amenable number.

257666464666752 is an abundant number, since it is smaller than the sum of its proper divisors (426760082105328).

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

257666464666752 is an equidigital number, since it uses as much as digits as its factorization.

257666464666752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671006418420 (or 671006418408 counting only the distinct ones).

The product of its digits is 21946982400, while the sum is 78.

The spelling of 257666464666752 in words is "two hundred fifty-seven trillion, six hundred sixty-six billion, four hundred sixty-four million, six hundred sixty-six thousand, seven hundred fifty-two".