257164635415460 has 96 divisors (see below), whose sum is σ = 595548538905600. Its totient is φ = 92843449776000.

The previous prime is 257164635415423. The next prime is 257164635415543. The reversal of 257164635415460 is 64514536461752.

It is a super-2 number, since 2×257164635415460² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 257164635415460.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56419550 + ... + 60807029.

It is an arithmetic number, because the mean of its divisors is an integer number (6203630613600).

Almost surely, 2^{257164635415460} is an apocalyptic number.

257164635415460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257164635415460 is an abundant number, since it is smaller than the sum of its proper divisors (338383903490140).

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

257164635415460 is a wasteful number, since it uses less digits than its factorization.

257164635415460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117226881 (or 117226879 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 59.

The spelling of 257164635415460 in words is "two hundred fifty-seven trillion, one hundred sixty-four billion, six hundred thirty-five million, four hundred fifteen thousand, four hundred sixty".