198917380800 has 672 divisors, whose sum is σ = 785762208000. Its totient is φ = 48755589120.

The previous prime is 198917380787. The next prime is 198917380891. The reversal of 198917380800 is 8083719891.

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 95 ways as a sum of consecutive naturals, for example, 31576051 + ... + 31582349.

It is an arithmetic number, because the mean of its divisors is an integer number (1169289000).

Almost surely, 2^198917380800 is an apocalyptic number.

198917380800 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 198917380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392881104000).

198917380800 is an abundant number, since it is smaller than the sum of its proper divisors (586844827200).

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

198917380800 is a wasteful number, since it uses less digits than its factorization.

198917380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6390 (or 6369 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 198917380800 in words is "one hundred ninety-eight billion, nine hundred seventeen million, three hundred eighty thousand, eight hundred".