199905359808 has 672 divisors, whose sum is σ = 691275866112. Its totient is φ = 49516185600.

The previous prime is 199905359807. The next prime is 199905359833. The reversal of 199905359808 is 808953509991.

199905359808 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 (672).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199905359807) 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 95 ways as a sum of consecutive naturals, for example, 1940828685 + ... + 1940828787.

Almost surely, 2^199905359808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199905359808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345637933056).

199905359808 is an abundant number, since it is smaller than the sum of its proper divisors (491370506304).

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

199905359808 is a wasteful number, since it uses less digits than its factorization.

199905359808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 66.

The spelling of 199905359808 in words is "one hundred ninety-nine billion, nine hundred five million, three hundred fifty-nine thousand, eight hundred eight".