198939424320 has 1344 divisors, whose sum is σ = 874796482560. Its totient is φ = 40382447616.

The previous prime is 198939424261. The next prime is 198939424351. The reversal of 198939424320 is 23424939891.

198939424320 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 394 + 243 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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, 1431218811 + ... + 1431218949.

It is an arithmetic number, because the mean of its divisors is an integer number (650890240).

Almost surely, 2^198939424320 is an apocalyptic number.

198939424320 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 198939424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437398241280).

198939424320 is an abundant number, since it is smaller than the sum of its proper divisors (675857058240).

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

198939424320 is a wasteful number, since it uses less digits than its factorization.

198939424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 198939424320 in words is "one hundred ninety-eight billion, nine hundred thirty-nine million, four hundred twenty-four thousand, three hundred twenty".