256871347200 has 990 divisors, whose sum is σ = 1031364209634. Its totient is φ = 63143608320.

The previous prime is 256871347193. The next prime is 256871347241. The reversal of 256871347200 is 2743178652.

256871347200 is a `hidden beast` number, since 2 + 568 + 7 + 13 + 4 + 72 + 0 + 0 = 666.

256871347200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 83442410496 + 173428936704 = 288864^2 + 416448^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 89 ways as a sum of consecutive naturals, for example, 350438034 + ... + 350438766.

Almost surely, 2^256871347200 is an apocalyptic number.

256871347200 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 256871347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515682104817).

256871347200 is an abundant number, since it is smaller than the sum of its proper divisors (774492862434).

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

256871347200 is a wasteful number, since it uses less digits than its factorization.

256871347200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 256871347200 in words is "two hundred fifty-six billion, eight hundred seventy-one million, three hundred forty-seven thousand, two hundred".