199820000010000 has 200 divisors, whose sum is σ = 645066411472384. Its totient is φ = 53283614400000.

The previous prime is 199820000009963. The next prime is 199820000010049. The reversal of 199820000010000 is 10000028991.

199820000010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 199820000010000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1126921350 + ... + 1127098650.

Almost surely, 2^{199820000010000} is an apocalyptic number.

199820000010000 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 199820000010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322533205736192).

199820000010000 is an abundant number, since it is smaller than the sum of its proper divisors (445246411462384).

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

199820000010000 is a wasteful number, since it uses less digits than its factorization.

199820000010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214899 (or 214878 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

Adding to 199820000010000 its reverse (10000028991), we get a palindrome (199830000038991).

The spelling of 199820000010000 in words is "one hundred ninety-nine trillion, eight hundred twenty billion, ten thousand".