199382803200 has 972 divisors, whose sum is σ = 849938209848. Its totient is φ = 44435865600.

The previous prime is 199382803187. The next prime is 199382803223. The reversal of 199382803200 is 2308283991.

199382803200 is a `hidden beast` number, since 19 + 9 + 38 + 280 + 320 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 115717539 + ... + 115719261.

Almost surely, 2^199382803200 is an apocalyptic number.

199382803200 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 199382803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424969104924).

199382803200 is an abundant number, since it is smaller than the sum of its proper divisors (650555406648).

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

199382803200 is a wasteful number, since it uses less digits than its factorization.

199382803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 199382803200 in words is "one hundred ninety-nine billion, three hundred eighty-two million, eight hundred three thousand, two hundred".