199791120399 has 64 divisors (see below), whose sum is σ = 309888883584. Its totient is φ = 113399709696.

The previous prime is 199791120371. The next prime is 199791120421. The reversal of 199791120399 is 993021197991.

It is a Cunningham number, because it is equal to 446980²-1.

It is not a de Polignac number, because 199791120399 - 2⁵ = 199791120367 is a prime.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199791120329) 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 63 ways as a sum of consecutive naturals, for example, 7585497 + ... + 7611789.

It is an arithmetic number, because the mean of its divisors is an integer number (4842013806).

Almost surely, 2^199791120399 is an apocalyptic number.

199791120399 is a deficient number, since it is larger than the sum of its proper divisors (110097763185).

199791120399 is a wasteful number, since it uses less digits than its factorization.

199791120399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26556.

The product of its (nonzero) digits is 2480058, while the sum is 60.

The spelling of 199791120399 in words is "one hundred ninety-nine billion, seven hundred ninety-one million, one hundred twenty thousand, three hundred ninety-nine".