257327121723752 has 16 divisors (see below), whose sum is σ = 482693580129600. Its totient is φ = 128608833689200.

The previous prime is 257327121723743. The next prime is 257327121723767.

257327121723752 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6840876602 + ... + 6840914217.

It is an arithmetic number, because the mean of its divisors is an integer number (30168348758100).

Almost surely, 2^{257327121723752} is an apocalyptic number.

It is an amenable number.

257327121723752 is a deficient number, since it is larger than the sum of its proper divisors (225366458405848).

257327121723752 is a wasteful number, since it uses less digits than its factorization.

257327121723752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13681793176 (or 13681793172 counting only the distinct ones).

The product of its digits is 17287200, while the sum is 56.

The spelling of 257327121723752 in words is "two hundred fifty-seven trillion, three hundred twenty-seven billion, one hundred twenty-one million, seven hundred twenty-three thousand, seven hundred fifty-two".