199752995560000 has 105 divisors (see below), whose sum is σ = 495329518612159. Its totient is φ = 79900067552000.

The previous prime is 199752995559833. The next prime is 199752995560033. The reversal of 199752995560000 is 65599257991.

The square root of 199752995560000 is 14133400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 15660634851904 + 184092360708096 = 3957352^2 + 13568064^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 199752995559899 and 199752995559908.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2826644667 + ... + 2826715333.

Almost surely, 2^{199752995560000} is an apocalyptic number.

199752995560000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

199752995560000 is the 14133400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199752995560000

199752995560000 is an abundant number, since it is smaller than the sum of its proper divisors (295576523052159).

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

199752995560000 is an frugal number, since it uses more digits than its factorization.

199752995560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141366 (or 70674 counting only the distinct ones).

The product of its (nonzero) digits is 68890500, while the sum is 67.

The spelling of 199752995560000 in words is "one hundred ninety-nine trillion, seven hundred fifty-two billion, nine hundred ninety-five million, five hundred sixty thousand".