199089964800 has 2160 divisors, whose sum is σ = 869442789600. Its totient is φ = 44590694400.

The previous prime is 199089964793. The next prime is 199089964811. The reversal of 199089964800 is 8469980991.

199089964800 is digitally balanced in base 2, 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 (2160).

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 239 ways as a sum of consecutive naturals, for example, 4855852780 + ... + 4855852820.

It is an arithmetic number, because the mean of its divisors is an integer number (402519810).

Almost surely, 2^199089964800 is an apocalyptic number.

199089964800 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 199089964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434721394800).

199089964800 is an abundant number, since it is smaller than the sum of its proper divisors (670352824800).

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

199089964800 is a wasteful number, since it uses less digits than its factorization.

199089964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 199089964800 in words is "one hundred ninety-nine billion, eighty-nine million, nine hundred sixty-four thousand, eight hundred".