199959806088 has 128 divisors (see below), whose sum is σ = 645199776000. Its totient is φ = 56194767360.

The previous prime is 199959806077. The next prime is 199959806089. The reversal of 199959806088 is 880608959991.

199959806088 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 5 + 9 + 8 + 0 + 608 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (199959806089) 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 31 ways as a sum of consecutive naturals, for example, 991773 + ... + 1176236.

It is an arithmetic number, because the mean of its divisors is an integer number (5040623250).

Almost surely, 2^199959806088 is an apocalyptic number.

199959806088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

199959806088 is an abundant number, since it is smaller than the sum of its proper divisors (445239969912).

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

199959806088 is a wasteful number, since it uses less digits than its factorization.

199959806088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168092 (or 2168082 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 72.

The spelling of 199959806088 in words is "one hundred ninety-nine billion, nine hundred fifty-nine million, eight hundred six thousand, eighty-eight".