159968681600 has 384 divisors, whose sum is σ = 489604080000. Its totient is φ = 50290606080.

The previous prime is 159968681591. The next prime is 159968681603. The reversal of 159968681600 is 6186869951.

It is a self number, because there is not a number n which added to its sum of digits gives 159968681600.

It is not an unprimeable number, because it can be changed into a prime (159968681603) 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 47 ways as a sum of consecutive naturals, for example, 45716651 + ... + 45720149.

It is an arithmetic number, because the mean of its divisors is an integer number (1275010625).

Almost surely, 2^159968681600 is an apocalyptic number.

159968681600 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 159968681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244802040000).

159968681600 is an abundant number, since it is smaller than the sum of its proper divisors (329635398400).

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

159968681600 is a wasteful number, since it uses less digits than its factorization.

159968681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 59.

The spelling of 159968681600 in words is "one hundred fifty-nine billion, nine hundred sixty-eight million, six hundred eighty-one thousand, six hundred".