199813500000 has 1008 divisors, whose sum is σ = 787588356240. Its totient is φ = 49248000000.

The previous prime is 199813499891. The next prime is 199813500001. The reversal of 199813500000 is 5318991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199813500001) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4873499980 + ... + 4873500020.

It is an arithmetic number, because the mean of its divisors is an integer number (781337655).

Almost surely, 2^199813500000 is an apocalyptic number.

199813500000 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 199813500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393794178120).

199813500000 is an abundant number, since it is smaller than the sum of its proper divisors (587774856240).

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

199813500000 is an frugal number, since it uses more digits than its factorization.

199813500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

Adding to 199813500000 its reverse (5318991), we get a palindrome (199818818991).

The spelling of 199813500000 in words is "one hundred ninety-nine billion, eight hundred thirteen million, five hundred thousand".