560121247445760 has 17280 divisors, whose sum is σ = 3183095494656000. Its totient is φ = 92704053657600.

The previous prime is 560121247445719. The next prime is 560121247445789. The reversal of 560121247445760 is 67544742121065.

560121247445760 is a `hidden beast` number, since 5 + 6 + 0 + 1 + 2 + 1 + 24 + 7 + 44 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (17280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 560121247445697 and 560121247445706.

It is an unprimeable number.

It is a polite number, since it can be written in 1919 ways as a sum of consecutive naturals, for example, 18068427336945 + ... + 18068427336975.

It is an arithmetic number, because the mean of its divisors is an integer number (184206915200).

Almost surely, 2^{560121247445760} 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 560121247445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591547747328000).

560121247445760 is an abundant number, since it is smaller than the sum of its proper divisors (2622974247210240).

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

560121247445760 is a wasteful number, since it uses less digits than its factorization.

560121247445760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 560121247445760 in words is "five hundred sixty trillion, one hundred twenty-one billion, two hundred forty-seven million, four hundred forty-five thousand, seven hundred sixty".