199874304000 has 1728 divisors, whose sum is σ = 905274377280. Its totient is φ = 42998169600.

The previous prime is 199874303977. The next prime is 199874304011. The reversal of 199874304000 is 403478991.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11757311992 + ... + 11757312008.

It is an arithmetic number, because the mean of its divisors is an integer number (523885635).

Almost surely, 2^199874304000 is an apocalyptic number.

199874304000 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 199874304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452637188640).

199874304000 is an abundant number, since it is smaller than the sum of its proper divisors (705400073280).

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

199874304000 is an frugal number, since it uses more digits than its factorization.

199874304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 199874304000 in words is "one hundred ninety-nine billion, eight hundred seventy-four million, three hundred four thousand".