257134968560 has 20 divisors (see below), whose sum is σ = 597838802088. Its totient is φ = 102853987392.

The previous prime is 257134968553. The next prime is 257134968583. The reversal of 257134968560 is 65869431752.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×257134968560² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257134968496 and 257134968505.

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 3 ways as a sum of consecutive naturals, for example, 1607093474 + ... + 1607093633.

It is a 1-persistent number, because it is pandigital, but 2⋅257134968560 = 514269937120 is not.

Almost surely, 2^257134968560 is an apocalyptic number.

257134968560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257134968560 is an abundant number, since it is smaller than the sum of its proper divisors (340703833528).

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

257134968560 is a wasteful number, since it uses less digits than its factorization.

257134968560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214187120 (or 3214187114 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 56.

The spelling of 257134968560 in words is "two hundred fifty-seven billion, one hundred thirty-four million, nine hundred sixty-eight thousand, five hundred sixty".