200198275450272 has 1152 divisors, whose sum is σ = 695426663393280. Its totient is φ = 53917332480000.

The previous prime is 200198275450237. The next prime is 200198275450273. The reversal of 200198275450272 is 272054572891002.

It is a happy number.

200198275450272 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 9 + 8 + 27 + 545 + 0 + 2 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (200198275450273) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14961377022 + ... + 14961390402.

It is an arithmetic number, because the mean of its divisors is an integer number (603668978640).

Almost surely, 2^{200198275450272} is an apocalyptic number.

200198275450272 is a gapful number since it is divisible by the number (22) 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 200198275450272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347713331696640).

200198275450272 is an abundant number, since it is smaller than the sum of its proper divisors (495228387943008).

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

200198275450272 is a wasteful number, since it uses less digits than its factorization.

200198275450272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13658 (or 13647 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 200198275450272 in words is "two hundred trillion, one hundred ninety-eight billion, two hundred seventy-five million, four hundred fifty thousand, two hundred seventy-two".