256784319439200 has 6048 divisors, whose sum is σ = 1198555589407680. Its totient is φ = 52484640768000.

The previous prime is 256784319439157. The next prime is 256784319439313. The reversal of 256784319439200 is 2934913487652.

256784319439200 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 84 + 319 + 4 + 39 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

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

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 1007 ways as a sum of consecutive naturals, for example, 4209579007170 + ... + 4209579007230.

It is an arithmetic number, because the mean of its divisors is an integer number (198173873910).

It is a 1-persistent number, because it is pandigital, but 2⋅256784319439200 = 513568638878400 is not.

Almost surely, 2^{256784319439200} is an apocalyptic number.

256784319439200 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 256784319439200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599277794703840).

256784319439200 is an abundant number, since it is smaller than the sum of its proper divisors (941771269968480).

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

256784319439200 is a wasteful number, since it uses less digits than its factorization.

256784319439200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 256784319439200 in words is "two hundred fifty-six trillion, seven hundred eighty-four billion, three hundred nineteen million, four hundred thirty-nine thousand, two hundred".