198985200000 has 384 divisors, whose sum is σ = 669332160000. Its totient is φ = 52366080000.

The previous prime is 198985199969. The next prime is 198985200077. The reversal of 198985200000 is 2589891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94798951 + ... + 94801049.

It is an arithmetic number, because the mean of its divisors is an integer number (1743052500).

Almost surely, 2^198985200000 is an apocalyptic number.

198985200000 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 198985200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334666080000).

198985200000 is an abundant number, since it is smaller than the sum of its proper divisors (470346960000).

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

198985200000 is an frugal number, since it uses more digits than its factorization.

198985200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

Adding to 198985200000 its reverse (2589891), we get a palindrome (198987789891).

The spelling of 198985200000 in words is "one hundred ninety-eight billion, nine hundred eighty-five million, two hundred thousand".