256593368470608 has 160 divisors (see below), whose sum is σ = 834919193001600. Its totient is φ = 74796447458304.

The previous prime is 256593368470591. The next prime is 256593368470609. The reversal of 256593368470608 is 806074863395652.

256593368470608 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 9 + 3 + 3 + 6 + 8 + 4 + 7 + 0 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256593368470609) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1202253885 + ... + 1202467292.

It is an arithmetic number, because the mean of its divisors is an integer number (5218244956260).

Almost surely, 2^{256593368470608} is an apocalyptic number.

It is an amenable number.

256593368470608 is an abundant number, since it is smaller than the sum of its proper divisors (578325824530992).

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

256593368470608 is a wasteful number, since it uses less digits than its factorization.

256593368470608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404721226 (or 2404721214 counting only the distinct ones).

The product of its (nonzero) digits is 1567641600, while the sum is 72.

The spelling of 256593368470608 in words is "two hundred fifty-six trillion, five hundred ninety-three billion, three hundred sixty-eight million, four hundred seventy thousand, six hundred eight".