198603955200 has 1056 divisors, whose sum is σ = 821086875648. Its totient is φ = 41287680000.

The previous prime is 198603955189. The next prime is 198603955241. The reversal of 198603955200 is 2559306891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 198603955200.

It is a congruent number.

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, 283314850 + ... + 283315550.

Almost surely, 2^198603955200 is an apocalyptic number.

198603955200 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 198603955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410543437824).

198603955200 is an abundant number, since it is smaller than the sum of its proper divisors (622482920448).

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

198603955200 is a wasteful number, since it uses less digits than its factorization.

198603955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 198603955200 in words is "one hundred ninety-eight billion, six hundred three million, nine hundred fifty-five thousand, two hundred".