804256866212800 has 1344 divisors, whose sum is σ = 2714277539119104. Its totient is φ = 226466179891200.

The previous prime is 804256866212791. The next prime is 804256866212819. The reversal of 804256866212800 is 8212668652408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14223781329 + ... + 14223837871.

It is an arithmetic number, because the mean of its divisors is an integer number (2019551740416).

Almost surely, 2^{804256866212800} is an apocalyptic number.

804256866212800 is a gapful number since it is divisible by the number (80) 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 804256866212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357138769559552).

804256866212800 is an abundant number, since it is smaller than the sum of its proper divisors (1910020672906304).

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

804256866212800 is a wasteful number, since it uses less digits than its factorization.

804256866212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56786 (or 56771 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 58.

The spelling of 804256866212800 in words is "eight hundred four trillion, two hundred fifty-six billion, eight hundred sixty-six million, two hundred twelve thousand, eight hundred".