199820010960000 has 480 divisors, whose sum is σ = 718634964762000. Its totient is φ = 53277079296000.

The previous prime is 199820010959983. The next prime is 199820010960041. The reversal of 199820010960000 is 69010028991.

199820010960000 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 20 + 0 + 10 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5693022451 + ... + 5693057549.

Almost surely, 2^{199820010960000} is an apocalyptic number.

199820010960000 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 199820010960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359317482381000).

199820010960000 is an abundant number, since it is smaller than the sum of its proper divisors (518814953802000).

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

199820010960000 is an equidigital number, since it uses as much as digits as its factorization.

199820010960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43046 (or 43016 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

Adding to 199820010960000 its reverse (69010028991), we get a palindrome (199889020988991).

The spelling of 199820010960000 in words is "one hundred ninety-nine trillion, eight hundred twenty billion, ten million, nine hundred sixty thousand".