159805882368 has 720 divisors, whose sum is σ = 541017247680. Its totient is φ = 46714060800.

The previous prime is 159805882351. The next prime is 159805882433. The reversal of 159805882368 is 863288508951.

159805882368 is a `hidden beast` number, since 1 + 598 + 0 + 5 + 8 + 8 + 2 + 36 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1795571668 + ... + 1795571756.

It is an arithmetic number, because the mean of its divisors is an integer number (751412844).

Almost surely, 2^159805882368 is an apocalyptic number.

159805882368 is a gapful number since it is divisible by the number (18) 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 159805882368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270508623840).

159805882368 is an abundant number, since it is smaller than the sum of its proper divisors (381211365312).

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

159805882368 is an frugal number, since it uses more digits than its factorization.

159805882368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 159805882368 in words is "one hundred fifty-nine billion, eight hundred five million, eight hundred eighty-two thousand, three hundred sixty-eight".