199798983828000 has 1152 divisors, whose sum is σ = 770742891959040. Its totient is φ = 50245177651200.

The previous prime is 199798983827977. The next prime is 199798983828083. The reversal of 199798983828000 is 828389897991.

199798983828000 is a `hidden beast` number, since 1 + 9 + 9 + 79 + 8 + 98 + 382 + 80 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3905578422 + ... + 3905629578.

It is an arithmetic number, because the mean of its divisors is an integer number (669047649270).

Almost surely, 2^{199798983828000} is an apocalyptic number.

199798983828000 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 199798983828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385371445979520).

199798983828000 is an abundant number, since it is smaller than the sum of its proper divisors (570943908131040).

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

199798983828000 is a wasteful number, since it uses less digits than its factorization.

199798983828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51292 (or 51239 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 81.

The spelling of 199798983828000 in words is "one hundred ninety-nine trillion, seven hundred ninety-eight billion, nine hundred eighty-three million, eight hundred twenty-eight thousand".