159830832672 has 1152 divisors, whose sum is σ = 598800384000. Its totient is φ = 40236134400.

The previous prime is 159830832661. The next prime is 159830832673. The reversal of 159830832672 is 276238038951.

159830832672 is a `hidden beast` number, since 1 + 5 + 9 + 8 + 308 + 326 + 7 + 2 = 666.

159830832672 is digitally balanced in base 3, 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 (159830832673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2385534783 + ... + 2385534849.

It is an arithmetic number, because the mean of its divisors is an integer number (519792000).

Almost surely, 2^159830832672 is an apocalyptic number.

159830832672 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 159830832672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299400192000).

159830832672 is an abundant number, since it is smaller than the sum of its proper divisors (438969551328).

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

159830832672 is a wasteful number, since it uses less digits than its factorization.

159830832672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 159830832672 in words is "one hundred fifty-nine billion, eight hundred thirty million, eight hundred thirty-two thousand, six hundred seventy-two".