195982352160 has 1536 divisors, whose sum is σ = 817496064000. Its totient is φ = 39260712960.

The previous prime is 195982352143. The next prime is 195982352161. The reversal of 195982352160 is 61253289591.

It is a happy number.

195982352160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (195982352161) 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 255 ways as a sum of consecutive naturals, for example, 4169837257 + ... + 4169837303.

It is an arithmetic number, because the mean of its divisors is an integer number (532224000).

Almost surely, 2^195982352160 is an apocalyptic number.

195982352160 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 195982352160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408748032000).

195982352160 is an abundant number, since it is smaller than the sum of its proper divisors (621513711840).

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

195982352160 is a wasteful number, since it uses less digits than its factorization.

195982352160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The spelling of 195982352160 in words is "one hundred ninety-five billion, nine hundred eighty-two million, three hundred fifty-two thousand, one hundred sixty".