257004692768 has 24 divisors (see below), whose sum is σ = 535741401132. Its totient is φ = 120943384576.

The previous prime is 257004692767. The next prime is 257004692773. The reversal of 257004692768 is 867296400752.

257004692768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 230196524944 + 26808167824 = 479788^2 + 163732^2 .

It is not an unprimeable number, because it can be changed into a prime (257004692767) 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 3 ways as a sum of consecutive naturals, for example, 236217005 + ... + 236218092.

Almost surely, 2^257004692768 is an apocalyptic number.

It is an amenable number.

257004692768 is an abundant number, since it is smaller than the sum of its proper divisors (278736708364).

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

257004692768 is a wasteful number, since it uses less digits than its factorization.

257004692768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472435124 (or 472435116 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 56.

The spelling of 257004692768 in words is "two hundred fifty-seven billion, four million, six hundred ninety-two thousand, seven hundred sixty-eight".