199156227200 has 504 divisors, whose sum is σ = 600014171505. Its totient is φ = 65313346560.

The previous prime is 199156227199. The next prime is 199156227203. The reversal of 199156227200 is 2722651991.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

199156227200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 195173102656 + 3983124544 = 441784^2 + 63112^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=315560.

It is not an unprimeable number, because it can be changed into a prime (199156227203) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 8658966389 + ... + 8658966411.

Almost surely, 2^199156227200 is an apocalyptic number.

199156227200 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 199156227200

199156227200 is an abundant number, since it is smaller than the sum of its proper divisors (400857944305).

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

199156227200 is an frugal number, since it uses more digits than its factorization.

199156227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 44.

The spelling of 199156227200 in words is "one hundred ninety-nine billion, one hundred fifty-six million, two hundred twenty-seven thousand, two hundred".