256220096832 has 420 divisors, whose sum is σ = 886132215540. Its totient is φ = 72989392896.

The previous prime is 256220096801. The next prime is 256220096849. The reversal of 256220096832 is 238690022652.

256220096832 is a `hidden beast` number, since 2 + 562 + 2 + 0 + 0 + 9 + 6 + 83 + 2 = 666.

256220096832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 106004941056 + 150215155776 = 325584^2 + 387576^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 98810928 + ... + 98813520.

Almost surely, 2^256220096832 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 256220096832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443066107770).

256220096832 is an abundant number, since it is smaller than the sum of its proper divisors (629912118708).

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

256220096832 is a wasteful number, since it uses less digits than its factorization.

256220096832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 256220096832 in words is "two hundred fifty-six billion, two hundred twenty million, ninety-six thousand, eight hundred thirty-two".