159438580560 has 480 divisors, whose sum is σ = 645650104320. Its totient is φ = 34444569600.

The previous prime is 159438580559. The next prime is 159438580571. The reversal of 159438580560 is 65085834951.

159438580560 is a `hidden beast` number, since 1 + 5 + 9 + 4 + 3 + 8 + 580 + 56 + 0 = 666.

159438580560 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×159438580560³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 159438580497 and 159438580506.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 47016465 + ... + 47019855.

It is an arithmetic number, because the mean of its divisors is an integer number (1345104384).

Almost surely, 2^159438580560 is an apocalyptic number.

159438580560 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 159438580560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322825052160).

159438580560 is an abundant number, since it is smaller than the sum of its proper divisors (486211523760).

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

159438580560 is a wasteful number, since it uses less digits than its factorization.

159438580560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3927 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 159438580560 in words is "one hundred fifty-nine billion, four hundred thirty-eight million, five hundred eighty thousand, five hundred sixty".