198066093271200 has 5184 divisors, whose sum is σ = 977079342919680. Its totient is φ = 37184458752000.

The previous prime is 198066093271199. The next prime is 198066093271253. The reversal of 198066093271200 is 2172390660891.

198066093271200 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 6 + 609 + 3 + 2 + 7 + 1 + 20 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 166862757007 + ... + 166862758193.

It is an arithmetic number, because the mean of its divisors is an integer number (188479811520).

Almost surely, 2^{198066093271200} is an apocalyptic number.

198066093271200 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 198066093271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488539671459840).

198066093271200 is an abundant number, since it is smaller than the sum of its proper divisors (779013249648480).

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

198066093271200 is a wasteful number, since it uses less digits than its factorization.

198066093271200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 198066093271200 in words is "one hundred ninety-eight trillion, sixty-six billion, ninety-three million, two hundred seventy-one thousand, two hundred".