560356209504 has 864 divisors, whose sum is σ = 2025857433600. Its totient is φ = 143819919360.

The previous prime is 560356209499. The next prime is 560356209559. The reversal of 560356209504 is 405902653065.

560356209504 is a `hidden beast` number, since 56 + 0 + 35 + 62 + 0 + 9 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 560356209504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2933802049 + ... + 2933802239.

It is an arithmetic number, because the mean of its divisors is an integer number (2344742400).

Almost surely, 2^560356209504 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 560356209504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012928716800).

560356209504 is an abundant number, since it is smaller than the sum of its proper divisors (1465501224096).

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

560356209504 is a wasteful number, since it uses less digits than its factorization.

560356209504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 560356209504 in words is "five hundred sixty billion, three hundred fifty-six million, two hundred nine thousand, five hundred four".