256849389720000 has 2800 divisors, whose sum is σ = 1210455295315200. Its totient is φ = 53368761600000.

The previous prime is 256849389719891. The next prime is 256849389720059. The reversal of 256849389720000 is 27983948652.

256849389720000 is a `hidden beast` number, since 2 + 5 + 6 + 8 + 49 + 389 + 7 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2800).

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

It is a self number, because there is not a number n which added to its sum of digits gives 256849389720000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 12224509495 + ... + 12224530505.

Almost surely, 2^{256849389720000} is an apocalyptic number.

256849389720000 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 256849389720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605227647657600).

256849389720000 is an abundant number, since it is smaller than the sum of its proper divisors (953605905595200).

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

256849389720000 is an equidigital number, since it uses as much as digits as its factorization.

256849389720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21087 (or 21039 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 256849389720000 in words is "two hundred fifty-six trillion, eight hundred forty-nine billion, three hundred eighty-nine million, seven hundred twenty thousand".