257406027768 has 96 divisors (see below), whose sum is σ = 754630088400. Its totient is φ = 81286089408.

The previous prime is 257406027727. The next prime is 257406027779. The reversal of 257406027768 is 867720604752.

257406027768 is a `hidden beast` number, since 2 + 574 + 0 + 6 + 0 + 2 + 7 + 7 + 68 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1572571 + ... + 1728522.

Almost surely, 2^257406027768 is an apocalyptic number.

It is an amenable number.

257406027768 is an abundant number, since it is smaller than the sum of its proper divisors (497224060632).

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

257406027768 is a wasteful number, since it uses less digits than its factorization.

257406027768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301146 (or 3301117 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 257406027768 in words is "two hundred fifty-seven billion, four hundred six million, twenty-seven thousand, seven hundred sixty-eight".