256396755124224 has 960 divisors, whose sum is σ = 893460148224000. Its totient is φ = 71640683642880.

The previous prime is 256396755124219. The next prime is 256396755124229. The reversal of 256396755124224 is 422421557693652.

256396755124224 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 9 + 6 + 75 + 512 + 42 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (256396755124219) and next prime (256396755124229).

It is not an unprimeable number, because it can be changed into a prime (256396755124229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80907778512 + ... + 80907781680.

It is an arithmetic number, because the mean of its divisors is an integer number (930687654400).

Almost surely, 2^{256396755124224} is an apocalyptic number.

256396755124224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256396755124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446730074112000).

256396755124224 is an abundant number, since it is smaller than the sum of its proper divisors (637063393099776).

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

256396755124224 is a wasteful number, since it uses less digits than its factorization.

256396755124224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4509 (or 4477 counting only the distinct ones).

The product of its digits is 217728000, while the sum is 63.

The spelling of 256396755124224 in words is "two hundred fifty-six trillion, three hundred ninety-six billion, seven hundred fifty-five million, one hundred twenty-four thousand, two hundred twenty-four".