199643996160 has 1792 divisors, whose sum is σ = 903649582080. Its totient is φ = 40768634880.

The previous prime is 199643996113. The next prime is 199643996171. The reversal of 199643996160 is 61699346991.

199643996160 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 4 + 3 + 9 + 9 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 127 ways as a sum of consecutive naturals, for example, 4869365740 + ... + 4869365780.

It is an arithmetic number, because the mean of its divisors is an integer number (504268740).

Almost surely, 2^199643996160 is an apocalyptic number.

199643996160 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 199643996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451824791040).

199643996160 is an abundant number, since it is smaller than the sum of its proper divisors (704005585920).

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

199643996160 is a wasteful number, since it uses less digits than its factorization.

199643996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 17006112, while the sum is 63.

The spelling of 199643996160 in words is "one hundred ninety-nine billion, six hundred forty-three million, nine hundred ninety-six thousand, one hundred sixty".