256536104635440 has 320 divisors, whose sum is σ = 1034487058590720. Its totient is φ = 57206657341440.

The previous prime is 256536104635439. The next prime is 256536104635441. The reversal of 256536104635440 is 44536401635652.

256536104635440 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 36 + 1 + 0 + 4 + 63 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (256536104635439) and next prime (256536104635441).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (256536104635441) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 206290734 + ... + 207530573.

It is an arithmetic number, because the mean of its divisors is an integer number (3232772058096).

Almost surely, 2^{256536104635440} is an apocalyptic number.

256536104635440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256536104635440 is an abundant number, since it is smaller than the sum of its proper divisors (777950953955280).

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

256536104635440 is a wasteful number, since it uses less digits than its factorization.

256536104635440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413821377 (or 413821365 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 54.

The spelling of 256536104635440 in words is "two hundred fifty-six trillion, five hundred thirty-six billion, one hundred four million, six hundred thirty-five thousand, four hundred forty".