198996273331200 has 660 divisors, whose sum is σ = 756775225095912. Its totient is φ = 51631445606400.

The previous prime is 198996273331181. The next prime is 198996273331217. The reversal of 198996273331200 is 2133372699891.

198996273331200 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 9 + 6 + 273 + 331 + 20 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 75426355 + ... + 78020045.

Almost surely, 2^{198996273331200} is an apocalyptic number.

198996273331200 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 198996273331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378387612547956).

198996273331200 is an abundant number, since it is smaller than the sum of its proper divisors (557778951764712).

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

198996273331200 is a wasteful number, since it uses less digits than its factorization.

198996273331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593770 (or 2593738 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 198996273331200 in words is "one hundred ninety-eight trillion, nine hundred ninety-six billion, two hundred seventy-three million, three hundred thirty-one thousand, two hundred".