199559227140 has 1152 divisors, whose sum is σ = 802568632320. Its totient is φ = 39016857600.

The previous prime is 199559227129. The next prime is 199559227157. The reversal of 199559227140 is 41722955991.

It is a happy number.

199559227140 is a `hidden beast` number, since 1 + 9 + 9 + 5 + 592 + 2 + 7 + 1 + 40 = 666.

It is a super-2 number, since 2×199559227140² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2057311572 + ... + 2057311668.

It is an arithmetic number, because the mean of its divisors is an integer number (696674160).

Almost surely, 2^199559227140 is an apocalyptic number.

199559227140 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 199559227140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401284316160).

199559227140 is an abundant number, since it is smaller than the sum of its proper divisors (603009405180).

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

199559227140 is a wasteful number, since it uses less digits than its factorization.

199559227140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 199559227140 in words is "one hundred ninety-nine billion, five hundred fifty-nine million, two hundred twenty-seven thousand, one hundred forty".