199288135816880 has 640 divisors, whose sum is σ = 585028795760640. Its totient is φ = 62156519424000.

The previous prime is 199288135816853. The next prime is 199288135816909. The reversal of 199288135816880 is 88618531882991.

It is a super-2 number, since 2×199288135816880² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1471442765 + ... + 1471578195.

It is an arithmetic number, because the mean of its divisors is an integer number (914107493376).

Almost surely, 2^{199288135816880} is an apocalyptic number.

199288135816880 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 199288135816880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292514397880320).

199288135816880 is an abundant number, since it is smaller than the sum of its proper divisors (385740659943760).

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

199288135816880 is a wasteful number, since it uses less digits than its factorization.

199288135816880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135689 (or 135683 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 77.

The spelling of 199288135816880 in words is "one hundred ninety-nine trillion, two hundred eighty-eight billion, one hundred thirty-five million, eight hundred sixteen thousand, eight hundred eighty".