804539804256 has 288 divisors, whose sum is σ = 2506540982400. Its totient is φ = 253147991040.

The previous prime is 804539804219. The next prime is 804539804287. The reversal of 804539804256 is 652408935408.

804539804256 is a `hidden beast` number, since 8 + 0 + 4 + 539 + 80 + 4 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 41506375 + ... + 41525753.

It is an arithmetic number, because the mean of its divisors is an integer number (8703267300).

Almost surely, 2^804539804256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804539804256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253270491200).

804539804256 is an abundant number, since it is smaller than the sum of its proper divisors (1702001178144).

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

804539804256 is a wasteful number, since it uses less digits than its factorization.

804539804256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19704 (or 19684 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 804539804256 in words is "eight hundred four billion, five hundred thirty-nine million, eight hundred four thousand, two hundred fifty-six".