199382861923200 has 1536 divisors, whose sum is σ = 774180538560000. Its totient is φ = 50026114252800.

The previous prime is 199382861923139. The next prime is 199382861923207. The reversal of 199382861923200 is 2329168283991.

199382861923200 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 8 + 2 + 8 + 619 + 2 + 3 + 2 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199382861923207) 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, 52900730916 + ... + 52900734684.

It is an arithmetic number, because the mean of its divisors is an integer number (504023788125).

Almost surely, 2^{199382861923200} is an apocalyptic number.

199382861923200 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 199382861923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387090269280000).

199382861923200 is an abundant number, since it is smaller than the sum of its proper divisors (574797676636800).

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

199382861923200 is a wasteful number, since it uses less digits than its factorization.

199382861923200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4365 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 199382861923200 in words is "one hundred ninety-nine trillion, three hundred eighty-two billion, eight hundred sixty-one million, nine hundred twenty-three thousand, two hundred".