257411086047 has 48 divisors (see below), whose sum is σ = 395597004192. Its totient is φ = 160731002880.

The previous prime is 257411086019. The next prime is 257411086091. The reversal of 257411086047 is 740680114752.

257411086047 is a `hidden beast` number, since 2 + 574 + 1 + 10 + 8 + 60 + 4 + 7 = 666.

It is not a de Polignac number, because 257411086047 - 2⁸ = 257411085791 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257411085993 and 257411086011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257411086447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37701448 + ... + 37708274.

It is an arithmetic number, because the mean of its divisors is an integer number (8241604254).

Almost surely, 2^257411086047 is an apocalyptic number.

257411086047 is a deficient number, since it is larger than the sum of its proper divisors (138185918145).

257411086047 is a wasteful number, since it uses less digits than its factorization.

257411086047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8008 (or 8005 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 257411086047 in words is "two hundred fifty-seven billion, four hundred eleven million, eighty-six thousand, forty-seven".