560652744960 has 1728 divisors, whose sum is σ = 2536705382400. Its totient is φ = 114765742080.

The previous prime is 560652744959. The next prime is 560652744979. The reversal of 560652744960 is 69447256065.

560652744960 is a `hidden beast` number, since 5 + 60 + 65 + 27 + 449 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 = 560652744897 and 560652744906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3132138151 + ... + 3132138329.

It is an arithmetic number, because the mean of its divisors is an integer number (1468000800).

Almost surely, 2^560652744960 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 560652744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268352691200).

560652744960 is an abundant number, since it is smaller than the sum of its proper divisors (1976052637440).

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

560652744960 is a wasteful number, since it uses less digits than its factorization.

560652744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 560652744960 in words is "five hundred sixty billion, six hundred fifty-two million, seven hundred forty-four thousand, nine hundred sixty".