818825381782800 has 720 divisors, whose sum is σ = 3240886446063360. Its totient is φ = 175594922065920.

The previous prime is 818825381782799. The next prime is 818825381782883. The reversal of 818825381782800 is 8287183528818.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 315581161 + ... + 318165239.

It is an arithmetic number, because the mean of its divisors is an integer number (4501231175088).

Almost surely, 2^{818825381782800} is an apocalyptic number.

818825381782800 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 818825381782800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620443223031680).

818825381782800 is an abundant number, since it is smaller than the sum of its proper divisors (2422061064280560).

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

818825381782800 is a wasteful number, since it uses less digits than its factorization.

818825381782800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584448 (or 2584430 counting only the distinct ones).

The product of its (nonzero) digits is 110100480, while the sum is 69.

The spelling of 818825381782800 in words is "eight hundred eighteen trillion, eight hundred twenty-five billion, three hundred eighty-one million, seven hundred eighty-two thousand, eight hundred".