257916236228064 has 60 divisors (see below), whose sum is σ = 758524486414464. Its totient is φ = 85972078741824.

The previous prime is 257916236228023. The next prime is 257916236228081. The reversal of 257916236228064 is 460822632619752.

257916236228064 is a `hidden beast` number, since 2 + 57 + 9 + 16 + 236 + 2 + 280 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 257916236227992 and 257916236228010.

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 9 ways as a sum of consecutive naturals, for example, 49752357792 + ... + 49752362975.

It is a 1-persistent number, because it is pandigital, but 2⋅257916236228064 = 515832472456128 is not.

Almost surely, 2^{257916236228064} is an apocalyptic number.

257916236228064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

257916236228064 is an abundant number, since it is smaller than the sum of its proper divisors (500608250186400).

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

257916236228064 is an equidigital number, since it uses as much as digits as its factorization.

257916236228064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99504720789 (or 99504720772 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 257916236228064 in words is "two hundred fifty-seven trillion, nine hundred sixteen billion, two hundred thirty-six million, two hundred twenty-eight thousand, sixty-four".