560905738128 has 360 divisors, whose sum is σ = 1763662118400. Its totient is φ = 165660733440.

The previous prime is 560905738121. The next prime is 560905738163. The reversal of 560905738128 is 821837509065.

560905738128 is a `hidden beast` number, since 5 + 60 + 9 + 0 + 573 + 8 + 1 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (560905738121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 103887973 + ... + 103893371.

It is an arithmetic number, because the mean of its divisors is an integer number (4899061440).

Almost surely, 2^560905738128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 560905738128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881831059200).

560905738128 is an abundant number, since it is smaller than the sum of its proper divisors (1202756380272).

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

560905738128 is a wasteful number, since it uses less digits than its factorization.

560905738128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5535 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 560905738128 in words is "five hundred sixty billion, nine hundred five million, seven hundred thirty-eight thousand, one hundred twenty-eight".