199807788083904 has 1344 divisors, whose sum is σ = 809084715909120. Its totient is φ = 47528385085440.

The previous prime is 199807788083879. The next prime is 199807788083989. The reversal of 199807788083904 is 409380887708991.

It is a happy number.

199807788083904 is a `hidden beast` number, since 1 + 9 + 9 + 80 + 7 + 78 + 80 + 8 + 390 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1537663224 + ... + 1537793160.

It is an arithmetic number, because the mean of its divisors is an integer number (601997556480).

Almost surely, 2^{199807788083904} is an apocalyptic number.

199807788083904 is a gapful number since it is divisible by the number (14) 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 199807788083904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404542357954560).

199807788083904 is an abundant number, since it is smaller than the sum of its proper divisors (609276927825216).

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

199807788083904 is a wasteful number, since it uses less digits than its factorization.

199807788083904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130123 (or 130100 counting only the distinct ones).

The product of its (nonzero) digits is 1755758592, while the sum is 81.

The spelling of 199807788083904 in words is "one hundred ninety-nine trillion, eight hundred seven billion, seven hundred eighty-eight million, eighty-three thousand, nine hundred four".