199932986880 has 1600 divisors, whose sum is σ = 845321038848. Its totient is φ = 44670320640.

The previous prime is 199932986867. The next prime is 199932986893. The reversal of 199932986880 is 88689239991.

It is a happy number.

199932986880 is a `hidden beast` number, since 199 + 93 + 298 + 68 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (199932986867) and next prime (199932986893).

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

It is a junction number, because it is equal to n+sod(n) for n = 199932986799 and 199932986808.

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 1941096909 + ... + 1941097011.

Almost surely, 2^199932986880 is an apocalyptic number.

199932986880 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 199932986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422660519424).

199932986880 is an abundant number, since it is smaller than the sum of its proper divisors (645388051968).

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

199932986880 is a wasteful number, since it uses less digits than its factorization.

199932986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 72.

The spelling of 199932986880 in words is "one hundred ninety-nine billion, nine hundred thirty-two million, nine hundred eighty-six thousand, eight hundred eighty".