999806833180800 has 1080 divisors, whose sum is σ = 3721322706408615. Its totient is φ = 264335659683840.

The previous prime is 999806833180759. The next prime is 999806833180811. The reversal of 999806833180800 is 8081338608999.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

999806833180800 is a `hidden beast` number, since 9 + 9 + 9 + 80 + 68 + 331 + 80 + 80 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 812839714998336 + 186967118182464 = 28510344^2 + 13673592^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=22358520.

It is a super-2 number, since 2×999806833180800² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 134 ways as a sum of consecutive naturals, for example, 2784977251021 + ... + 2784977251379.

Almost surely, 2^{999806833180800} is an apocalyptic number.

999806833180800 is a gapful number since it is divisible by the number (90) 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 999806833180800

999806833180800 is an abundant number, since it is smaller than the sum of its proper divisors (2721515873227815).

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

999806833180800 is an frugal number, since it uses more digits than its factorization.

999806833180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 72.

999806833180800 divided by its sum of digits (72) gives a square (13886206016400 = 3726420²).

The spelling of 999806833180800 in words is "nine hundred ninety-nine trillion, eight hundred six billion, eight hundred thirty-three million, one hundred eighty thousand, eight hundred".