256530223872 has 432 divisors, whose sum is σ = 827500547328. Its totient is φ = 75897077760.

The previous prime is 256530223819. The next prime is 256530223891. The reversal of 256530223872 is 278322035652.

256530223872 is a `hidden beast` number, since 2 + 565 + 3 + 0 + 2 + 2 + 3 + 87 + 2 = 666.

256530223872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160631778 + ... + 160633374.

Almost surely, 2^256530223872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256530223872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413750273664).

256530223872 is an abundant number, since it is smaller than the sum of its proper divisors (570970323456).

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

256530223872 is a wasteful number, since it uses less digits than its factorization.

256530223872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 256530223872 in words is "two hundred fifty-six billion, five hundred thirty million, two hundred twenty-three thousand, eight hundred seventy-two".