99784204800 has 960 divisors, whose sum is σ = 394885201920. Its totient is φ = 21737963520.

The previous prime is 99784204777. The next prime is 99784204811. The reversal of 99784204800 is 840248799.

99784204800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 785702337 + ... + 785702463.

It is an arithmetic number, because the mean of its divisors is an integer number (411338752).

Almost surely, 2^99784204800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99784204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197442600960).

99784204800 is an abundant number, since it is smaller than the sum of its proper divisors (295100997120).

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

99784204800 is a wasteful number, since it uses less digits than its factorization.

99784204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 99784204800 in words is "ninety-nine billion, seven hundred eighty-four million, two hundred four thousand, eight hundred".