199728454685760 has 2688 divisors, whose sum is σ = 965577635463168. Its totient is φ = 36550434816000.

The previous prime is 199728454685743. The next prime is 199728454685779. The reversal of 199728454685760 is 67586454827991.

199728454685760 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 2 + 8 + 4 + 546 + 8 + 5 + 7 + 60 = 666.

It is a super-2 number, since 2×199728454685760² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 199728454685760.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6345203142 + ... + 6345234618.

It is an arithmetic number, because the mean of its divisors is an integer number (359217870336).

Almost surely, 2^{199728454685760} is an apocalyptic number.

199728454685760 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 199728454685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482788817731584).

199728454685760 is an abundant number, since it is smaller than the sum of its proper divisors (765849180777408).

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

199728454685760 is a wasteful number, since it uses less digits than its factorization.

199728454685760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31633 (or 31620 counting only the distinct ones).

The product of its (nonzero) digits is 7315660800, while the sum is 81.

The spelling of 199728454685760 in words is "one hundred ninety-nine trillion, seven hundred twenty-eight billion, four hundred fifty-four million, six hundred eighty-five thousand, seven hundred sixty".