256655566624 has 96 divisors (see below), whose sum is σ = 543770536176. Its totient is φ = 118817587200.

The previous prime is 256655566619. The next prime is 256655566627. The reversal of 256655566624 is 426665556652.

256655566624 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 252072276624 + 4583290000 = 502068^2 + 67700^2 .

It is not an unprimeable number, because it can be changed into a prime (256655566627) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8611332 + ... + 8641084.

Almost surely, 2^256655566624 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 256655566624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271885268088).

256655566624 is an abundant number, since it is smaller than the sum of its proper divisors (287114969552).

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

256655566624 is a wasteful number, since it uses less digits than its factorization.

256655566624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30038 (or 30030 counting only the distinct ones).

The product of its digits is 77760000, while the sum is 58.

The spelling of 256655566624 in words is "two hundred fifty-six billion, six hundred fifty-five million, five hundred sixty-six thousand, six hundred twenty-four".