256255180800 has 360 divisors, whose sum is σ = 884262320256. Its totient is φ = 65356431360.

The previous prime is 256255180799. The next prime is 256255180837. The reversal of 256255180800 is 8081552652.

256255180800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 28257867 + ... + 28266933.

Almost surely, 2^256255180800 is an apocalyptic number.

256255180800 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 256255180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442131160128).

256255180800 is an abundant number, since it is smaller than the sum of its proper divisors (628007139456).

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

256255180800 is an equidigital number, since it uses as much as digits as its factorization.

256255180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9131 (or 9100 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 42.

The spelling of 256255180800 in words is "two hundred fifty-six billion, two hundred fifty-five million, one hundred eighty thousand, eight hundred".