198874771200 has 972 divisors, whose sum is σ = 854163955008. Its totient is φ = 43971379200.

The previous prime is 198874771171. The next prime is 198874771247. The reversal of 198874771200 is 2177478891.

198874771200 is a `hidden beast` number, since 1 + 98 + 87 + 477 + 1 + 2 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 87493264 + ... + 87495536.

Almost surely, 2^198874771200 is an apocalyptic number.

198874771200 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 198874771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427081977504).

198874771200 is an abundant number, since it is smaller than the sum of its proper divisors (655289183808).

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

198874771200 is a wasteful number, since it uses less digits than its factorization.

198874771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The spelling of 198874771200 in words is "one hundred ninety-eight billion, eight hundred seventy-four million, seven hundred seventy-one thousand, two hundred".