199855832400 has 360 divisors, whose sum is σ = 795523857024. Its totient is φ = 45514828800.

The previous prime is 199855832389. The next prime is 199855832401. The reversal of 199855832400 is 4238558991.

199855832400 is a `hidden beast` number, since 19 + 9 + 8 + 5 + 583 + 2 + 40 + 0 = 666.

199855832400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199855832401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6966085 + ... + 6994715.

Almost surely, 2^199855832400 is an apocalyptic number.

199855832400 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 199855832400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397761928512).

199855832400 is an abundant number, since it is smaller than the sum of its proper divisors (595668024624).

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

199855832400 is a wasteful number, since it uses less digits than its factorization.

199855832400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28939 (or 28925 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 199855832400 in words is "one hundred ninety-nine billion, eight hundred fifty-five million, eight hundred thirty-two thousand, four hundred".