256487552256 has 288 divisors, whose sum is σ = 750256577280. Its totient is φ = 77771366400.

The previous prime is 256487552221. The next prime is 256487552273. The reversal of 256487552256 is 652255784652.

It is a happy number.

256487552256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 256487552196 and 256487552205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119796946 + ... + 119799086.

It is an arithmetic number, because the mean of its divisors is an integer number (2605057560).

Almost surely, 2^256487552256 is an apocalyptic number.

256487552256 is a gapful number since it is divisible by the number (26) 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 256487552256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375128288640).

256487552256 is an abundant number, since it is smaller than the sum of its proper divisors (493769025024).

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

256487552256 is an equidigital number, since it uses as much as digits as its factorization.

256487552256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2230 counting only the distinct ones).

The product of its digits is 40320000, while the sum is 57.

The spelling of 256487552256 in words is "two hundred fifty-six billion, four hundred eighty-seven million, five hundred fifty-two thousand, two hundred fifty-six".