198517599120 has 320 divisors, whose sum is σ = 644873011200. Its totient is φ = 50461132800.

The previous prime is 198517599113. The next prime is 198517599121. The reversal of 198517599120 is 21995715891.

It is not an unprimeable number, because it can be changed into a prime (198517599121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145220677 + ... + 145222043.

It is an arithmetic number, because the mean of its divisors is an integer number (2015228160).

Almost surely, 2^198517599120 is an apocalyptic number.

198517599120 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 198517599120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322436505600).

198517599120 is an abundant number, since it is smaller than the sum of its proper divisors (446355412080).

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

198517599120 is a wasteful number, since it uses less digits than its factorization.

198517599120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 57.

The spelling of 198517599120 in words is "one hundred ninety-eight billion, five hundred seventeen million, five hundred ninety-nine thousand, one hundred twenty".