257323992960 has 64 divisors (see below), whose sum is σ = 820220233680. Its totient is φ = 68619730944.

The previous prime is 257323992949. The next prime is 257323992983. The reversal of 257323992960 is 69299323752.

It is a happy number.

257323992960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 257323992960.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 67009537 + ... + 67013376.

Almost surely, 2^257323992960 is an apocalyptic number.

257323992960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257323992960 is an abundant number, since it is smaller than the sum of its proper divisors (562896240720).

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

257323992960 is a wasteful number, since it uses less digits than its factorization.

257323992960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134022935 (or 134022923 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 57.

The spelling of 257323992960 in words is "two hundred fifty-seven billion, three hundred twenty-three million, nine hundred ninety-two thousand, nine hundred sixty".