198901824000 has 640 divisors, whose sum is σ = 739334179584. Its totient is φ = 47022080000.

The previous prime is 198901823987. The next prime is 198901824019. The reversal of 198901824000 is 428109891.

198901824000 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 (640).

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 63 ways as a sum of consecutive naturals, for example, 86590852 + ... + 86593148.

Almost surely, 2^198901824000 is an apocalyptic number.

198901824000 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 198901824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369667089792).

198901824000 is an abundant number, since it is smaller than the sum of its proper divisors (540432355584).

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

198901824000 is a wasteful number, since it uses less digits than its factorization.

198901824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 198901824000 in words is "one hundred ninety-eight billion, nine hundred one million, eight hundred twenty-four thousand".