256869799200 has 648 divisors, whose sum is σ = 1069495579152. Its totient is φ = 57831459840.

The previous prime is 256869799187. The next prime is 256869799237. The reversal of 256869799200 is 2997968652.

256869799200 is a `hidden beast` number, since 2 + 568 + 69 + 7 + 9 + 9 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 23632167 + ... + 23643033.

Almost surely, 2^256869799200 is an apocalyptic number.

256869799200 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 256869799200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534747789576).

256869799200 is an abundant number, since it is smaller than the sum of its proper divisors (812625779952).

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

256869799200 is a wasteful number, since it uses less digits than its factorization.

256869799200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10974 (or 10951 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 256869799200 in words is "two hundred fifty-six billion, eight hundred sixty-nine million, seven hundred ninety-nine thousand, two hundred".