199835390506752 has 2592 divisors, whose sum is σ = 831024683274240. Its totient is φ = 45306994360320.

The previous prime is 199835390506699. The next prime is 199835390506901. The reversal of 199835390506752 is 257605093538991.

It is a happy number.

199835390506752 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 35 + 39 + 0 + 506 + 7 + 52 = 666.

199835390506752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33047026993 + ... + 33047033039.

It is an arithmetic number, because the mean of its divisors is an integer number (320611374720).

Almost surely, 2^{199835390506752} is an apocalyptic number.

199835390506752 is a gapful number since it is divisible by the number (12) 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 199835390506752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415512341637120).

199835390506752 is an abundant number, since it is smaller than the sum of its proper divisors (631189292767488).

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

199835390506752 is a wasteful number, since it uses less digits than its factorization.

199835390506752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6219 (or 6195 counting only the distinct ones).

The product of its (nonzero) digits is 551124000, while the sum is 72.

The spelling of 199835390506752 in words is "one hundred ninety-nine trillion, eight hundred thirty-five billion, three hundred ninety million, five hundred six thousand, seven hundred fifty-two".