199390885200 has 960 divisors, whose sum is σ = 816410246400. Its totient is φ = 45785088000.

The previous prime is 199390885159. The next prime is 199390885201. The reversal of 199390885200 is 2588093991.

199390885200 is a `hidden beast` number, since 1 + 9 + 9 + 39 + 0 + 88 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199390885201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 331764900 + ... + 331765500.

It is an arithmetic number, because the mean of its divisors is an integer number (850427340).

Almost surely, 2^199390885200 is an apocalyptic number.

199390885200 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 199390885200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408205123200).

199390885200 is an abundant number, since it is smaller than the sum of its proper divisors (617019361200).

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

199390885200 is a wasteful number, since it uses less digits than its factorization.

199390885200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 199390885200 in words is "one hundred ninety-nine billion, three hundred ninety million, eight hundred eighty-five thousand, two hundred".