199525330368 has 336 divisors, whose sum is σ = 705269160960. Its totient is φ = 52518316032.

The previous prime is 199525330331. The next prime is 199525330447. The reversal of 199525330368 is 863033525991.

199525330368 is a `hidden beast` number, since 19 + 95 + 2 + 533 + 0 + 3 + 6 + 8 = 666.

199525330368 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 (336).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 28668073 + ... + 28675031.

It is an arithmetic number, because the mean of its divisors is an integer number (2099015360).

Almost surely, 2^199525330368 is an apocalyptic number.

199525330368 is a gapful number since it is divisible by the number (18) 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 199525330368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352634580480).

199525330368 is an abundant number, since it is smaller than the sum of its proper divisors (505743830592).

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

199525330368 is a wasteful number, since it uses less digits than its factorization.

199525330368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7544 (or 7531 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 199525330368 in words is "one hundred ninety-nine billion, five hundred twenty-five million, three hundred thirty thousand, three hundred sixty-eight".