16823116800 has 1320 divisors, whose sum is σ = 76168706240. Its totient is φ = 3583180800.

The previous prime is 16823116771. The next prime is 16823116811. The reversal of 16823116800 is 861132861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 275788770 + ... + 275788830.

Almost surely, 2^16823116800 is an apocalyptic number.

16823116800 is a gapful number since it is divisible by the number (10) 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 16823116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38084353120).

16823116800 is an abundant number, since it is smaller than the sum of its proper divisors (59345589440).

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

16823116800 is a wasteful number, since it uses less digits than its factorization.

16823116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 16823116800 in words is "sixteen billion, eight hundred twenty-three million, one hundred sixteen thousand, eight hundred".