199824900000 has 576 divisors, whose sum is σ = 753116797440. Its totient is φ = 45878400000.

The previous prime is 199824899951. The next prime is 199824900007. The reversal of 199824900000 is 9428991.

It is not an unprimeable number, because it can be changed into a prime (199824900007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62698407 + ... + 62701593.

It is an arithmetic number, because the mean of its divisors is an integer number (1307494440).

Almost surely, 2^199824900000 is an apocalyptic number.

199824900000 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 199824900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376558398720).

199824900000 is an abundant number, since it is smaller than the sum of its proper divisors (553291897440).

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

199824900000 is a wasteful number, since it uses less digits than its factorization.

199824900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 199824900000 in words is "one hundred ninety-nine billion, eight hundred twenty-four million, nine hundred thousand".