199199968128 has 1152 divisors, whose sum is σ = 743962695840. Its totient is φ = 50783846400.

The previous prime is 199199968109. The next prime is 199199968129. The reversal of 199199968128 is 821869991991.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199199968129) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2399999575 + ... + 2399999657.

Almost surely, 2^199199968128 is an apocalyptic number.

199199968128 is a gapful number since it is divisible by the number (18) 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 199199968128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371981347920).

199199968128 is an abundant number, since it is smaller than the sum of its proper divisors (544762727712).

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

199199968128 is a wasteful number, since it uses less digits than its factorization.

199199968128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 214 counting only the distinct ones).

The product of its digits is 45349632, while the sum is 72.

The spelling of 199199968128 in words is "one hundred ninety-nine billion, one hundred ninety-nine million, nine hundred sixty-eight thousand, one hundred twenty-eight".