198996019200 has 1296 divisors, whose sum is σ = 811227296880. Its totient is φ = 46551859200.

The previous prime is 198996019109. The next prime is 198996019217. The reversal of 198996019200 is 2910699891.

198996019200 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 9 + 601 + 9 + 20 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2397542359 + ... + 2397542441.

Almost surely, 2^198996019200 is an apocalyptic number.

198996019200 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 198996019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405613648440).

198996019200 is an abundant number, since it is smaller than the sum of its proper divisors (612231277680).

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

198996019200 is a wasteful number, since it uses less digits than its factorization.

198996019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 54.

The spelling of 198996019200 in words is "one hundred ninety-eight billion, nine hundred ninety-six million, nineteen thousand, two hundred".