16804132800 has 1344 divisors, whose sum is σ = 75179188224. Its totient is φ = 3185049600.

The previous prime is 16804132799. The next prime is 16804132811. The reversal of 16804132800 is 823140861.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 230193564 + ... + 230193636.

It is an arithmetic number, because the mean of its divisors is an integer number (55936896).

Almost surely, 2^16804132800 is an apocalyptic number.

16804132800 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 16804132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37589594112).

16804132800 is an abundant number, since it is smaller than the sum of its proper divisors (58375055424).

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

16804132800 is a wasteful number, since it uses less digits than its factorization.

16804132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 16804132800 in words is "sixteen billion, eight hundred four million, one hundred thirty-two thousand, eight hundred".