198635828160 has 896 divisors, whose sum is σ = 859565260800. Its totient is φ = 37586534400.

The previous prime is 198635828147. The next prime is 198635828207. The reversal of 198635828160 is 61828536891.

198635828160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 198635828160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38953291 + ... + 38958389.

Almost surely, 2^198635828160 is an apocalyptic number.

198635828160 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 198635828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429782630400).

198635828160 is an abundant number, since it is smaller than the sum of its proper divisors (660929432640).

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

198635828160 is a wasteful number, since it uses less digits than its factorization.

198635828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5185 (or 5175 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 198635828160 in words is "one hundred ninety-eight billion, six hundred thirty-five million, eight hundred twenty-eight thousand, one hundred sixty".