257872164443 has 8 divisors (see below), whose sum is σ = 259340428800. Its totient is φ = 256404207528.

The previous prime is 257872164343. The next prime is 257872164469. The reversal of 257872164443 is 344461278752.

257872164443 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257872164443 - 2³⁰ = 256798422619 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257872164343) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1725230 + ... + 1868732.

It is an arithmetic number, because the mean of its divisors is an integer number (32417553600).

Almost surely, 2^257872164443 is an apocalyptic number.

257872164443 is a deficient number, since it is larger than the sum of its proper divisors (1468264357).

257872164443 is a wasteful number, since it uses less digits than its factorization.

257872164443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153721.

The product of its digits is 9031680, while the sum is 53.

The spelling of 257872164443 in words is "two hundred fifty-seven billion, eight hundred seventy-two million, one hundred sixty-four thousand, four hundred forty-three".