198943516800 has 1536 divisors, whose sum is σ = 876172492800. Its totient is φ = 43670016000.

The previous prime is 198943516781. The next prime is 198943516817. The reversal of 198943516800 is 8615349891.

198943516800 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 43 + 516 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1518652735 + ... + 1518652865.

It is an arithmetic number, because the mean of its divisors is an integer number (570424800).

Almost surely, 2^198943516800 is an apocalyptic number.

198943516800 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 198943516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438086246400).

198943516800 is an abundant number, since it is smaller than the sum of its proper divisors (677228976000).

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

198943516800 is an equidigital number, since it uses as much as digits as its factorization.

198943516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 198943516800 in words is "one hundred ninety-eight billion, nine hundred forty-three million, five hundred sixteen thousand, eight hundred".