256696888320 has 352 divisors, whose sum is σ = 965925259200. Its totient is φ = 64425295872.

The previous prime is 256696888319. The next prime is 256696888339. The reversal of 256696888320 is 23888696652.

256696888320 is a `hidden beast` number, since 2 + 566 + 9 + 68 + 8 + 8 + 3 + 2 + 0 = 666.

256696888320 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2295466 + ... + 2404694.

It is an arithmetic number, because the mean of its divisors is an integer number (2744105850).

Almost surely, 2^256696888320 is an apocalyptic number.

256696888320 is a gapful number since it is divisible by the number (20) 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 256696888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482962629600).

256696888320 is an abundant number, since it is smaller than the sum of its proper divisors (709228370880).

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

256696888320 is a wasteful number, since it uses less digits than its factorization.

256696888320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109280 (or 109256 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 256696888320 in words is "two hundred fifty-six billion, six hundred ninety-six million, eight hundred eighty-eight thousand, three hundred twenty".