199989561600 has 432 divisors, whose sum is σ = 771950939200. Its totient is φ = 50522849280.

The previous prime is 199989561593. The next prime is 199989561601. The reversal of 199989561600 is 6165989991.

It is a happy number.

199989561600 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 8 + 9 + 5 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is not an unprimeable number, because it can be changed into a prime (199989561601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3252744 + ... + 3313656.

Almost surely, 2^199989561600 is an apocalyptic number.

199989561600 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 199989561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385975469600).

199989561600 is an abundant number, since it is smaller than the sum of its proper divisors (571961377600).

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

199989561600 is a wasteful number, since it uses less digits than its factorization.

199989561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60967 (or 60942 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 63.

The spelling of 199989561600 in words is "one hundred ninety-nine billion, nine hundred eighty-nine million, five hundred sixty-one thousand, six hundred".