257696888097768 has 64 divisors (see below), whose sum is σ = 740091729048960. Its totient is φ = 73246191722496.

The previous prime is 257696888097751. The next prime is 257696888097773. The reversal of 257696888097768 is 867790888696752.

It is a super-2 number, since 2×257696888097768² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3973827805 + ... + 3973892652.

It is an arithmetic number, because the mean of its divisors is an integer number (11563933266390).

Almost surely, 2^{257696888097768} is an apocalyptic number.

257696888097768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

257696888097768 is an abundant number, since it is smaller than the sum of its proper divisors (482394840951192).

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

257696888097768 is a wasteful number, since it uses less digits than its factorization.

257696888097768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7947720666 (or 7947720662 counting only the distinct ones).

The product of its (nonzero) digits is 245806202880, while the sum is 96.

The spelling of 257696888097768 in words is "two hundred fifty-seven trillion, six hundred ninety-six billion, eight hundred eighty-eight million, ninety-seven thousand, seven hundred sixty-eight".