560306280960 has 1280 divisors, whose sum is σ = 2172203827200. Its totient is φ = 136559001600.

The previous prime is 560306280917. The next prime is 560306280967. The reversal of 560306280960 is 69082603065.

It is a happy number.

560306280960 is a `hidden beast` number, since 5 + 6 + 0 + 306 + 280 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (560306280967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4411860417 + ... + 4411860543.

It is an arithmetic number, because the mean of its divisors is an integer number (1697034240).

Almost surely, 2^560306280960 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 560306280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086101913600).

560306280960 is an abundant number, since it is smaller than the sum of its proper divisors (1611897546240).

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

560306280960 is a wasteful number, since it uses less digits than its factorization.

560306280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 560306280960 in words is "five hundred sixty billion, three hundred six million, two hundred eighty thousand, nine hundred sixty".