256219357879200 has 576 divisors, whose sum is σ = 861930782899200. Its totient is φ = 66068700364800.

The previous prime is 256219357879151. The next prime is 256219357879319. The reversal of 256219357879200 is 2978753912652.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5024967306 + ... + 5025018294.

It is an arithmetic number, because the mean of its divisors is an integer number (1496407609200).

Almost surely, 2^{256219357879200} is an apocalyptic number.

256219357879200 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 256219357879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430965391449600).

256219357879200 is an abundant number, since it is smaller than the sum of its proper divisors (605711425020000).

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

256219357879200 is a wasteful number, since it uses less digits than its factorization.

256219357879200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51505 (or 51492 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 66.

The spelling of 256219357879200 in words is "two hundred fifty-six trillion, two hundred nineteen billion, three hundred fifty-seven million, eight hundred seventy-nine thousand, two hundred".