159906274560 has 864 divisors, whose sum is σ = 601275467520. Its totient is φ = 39136002048.

The previous prime is 159906274559. The next prime is 159906274589. The reversal of 159906274560 is 65472609951.

159906274560 is a `hidden beast` number, since 1 + 5 + 9 + 9 + 0 + 6 + 2 + 74 + 560 = 666.

159906274560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 159906274497 and 159906274506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 828529824 + ... + 828530016.

It is an arithmetic number, because the mean of its divisors is an integer number (695920680).

Almost surely, 2^159906274560 is an apocalyptic number.

159906274560 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 159906274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300637733760).

159906274560 is an abundant number, since it is smaller than the sum of its proper divisors (441369192960).

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

159906274560 is a wasteful number, since it uses less digits than its factorization.

159906274560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 159906274560 in words is "one hundred fifty-nine billion, nine hundred six million, two hundred seventy-four thousand, five hundred sixty".