256552645800 has 768 divisors, whose sum is σ = 927837757440. Its totient is φ = 58544640000.

The previous prime is 256552645799. The next prime is 256552645813. The reversal of 256552645800 is 8546255652.

It is a self number, because there is not a number n which added to its sum of digits gives 256552645800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1064533680 + ... + 1064533920.

It is an arithmetic number, because the mean of its divisors is an integer number (1208122080).

Almost surely, 2^256552645800 is an apocalyptic number.

256552645800 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 256552645800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463918878720).

256552645800 is an abundant number, since it is smaller than the sum of its proper divisors (671285111640).

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

256552645800 is a wasteful number, since it uses less digits than its factorization.

256552645800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 48.

The spelling of 256552645800 in words is "two hundred fifty-six billion, five hundred fifty-two million, six hundred forty-five thousand, eight hundred".