800085596256 has 288 divisors, whose sum is σ = 2507281620480. Its totient is φ = 240884582400.

The previous prime is 800085596243. The next prime is 800085596287. The reversal of 800085596256 is 652695580008.

800085596256 is a `hidden beast` number, since 8 + 0 + 0 + 0 + 8 + 5 + 5 + 9 + 625 + 6 = 666.

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

It is a super-2 number, since 2×800085596256² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39130996 + ... + 39151436.

It is an arithmetic number, because the mean of its divisors is an integer number (8705838960).

Almost surely, 2^800085596256 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 800085596256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253640810240).

800085596256 is an abundant number, since it is smaller than the sum of its proper divisors (1707196024224).

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

800085596256 is a wasteful number, since it uses less digits than its factorization.

800085596256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20810 (or 20799 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 800085596256 in words is "eight hundred billion, eighty-five million, five hundred ninety-six thousand, two hundred fifty-six".