198835560000 has 1400 divisors, whose sum is σ = 919420641216. Its totient is φ = 41264640000.

The previous prime is 198835559999. The next prime is 198835560041. The reversal of 198835560000 is 65538891.

198835560000 is a `hidden beast` number, since 1 + 9 + 8 + 8 + 35 + 5 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 249479602 + ... + 249480398.

Almost surely, 2^198835560000 is an apocalyptic number.

198835560000 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 198835560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459710320608).

198835560000 is an abundant number, since it is smaller than the sum of its proper divisors (720585081216).

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

198835560000 is an equidigital number, since it uses as much as digits as its factorization.

198835560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 198835560000 in words is "one hundred ninety-eight billion, eight hundred thirty-five million, five hundred sixty thousand".