198930825000 has 288 divisors, whose sum is σ = 675110774520. Its totient is φ = 52915200000.

The previous prime is 198930824993. The next prime is 198930825019. The reversal of 198930825000 is 528039891.

It is a happy number.

198930825000 is a `hidden beast` number, since 1 + 98 + 9 + 308 + 250 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 56513651076 + 142417173924 = 237726^2 + 377382^2 .

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 71 ways as a sum of consecutive naturals, for example, 117224152 + ... + 117225848.

Almost surely, 2^198930825000 is an apocalyptic number.

198930825000 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 198930825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337555387260).

198930825000 is an abundant number, since it is smaller than the sum of its proper divisors (476179949520).

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

198930825000 is a wasteful number, since it uses less digits than its factorization.

198930825000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 198930825000 in words is "one hundred ninety-eight billion, nine hundred thirty million, eight hundred twenty-five thousand".