560390680080 has 1920 divisors, whose sum is σ = 2567149977600. Its totient is φ = 106077081600.

The previous prime is 560390680079. The next prime is 560390680133. The reversal of 560390680080 is 80086093065.

560390680080 is a `hidden beast` number, since 560 + 3 + 9 + 0 + 6 + 8 + 0 + 0 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4412524977 + ... + 4412525103.

It is an arithmetic number, because the mean of its divisors is an integer number (1337057280).

Almost surely, 2^560390680080 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 560390680080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283574988800).

560390680080 is an abundant number, since it is smaller than the sum of its proper divisors (2006759297520).

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

560390680080 is a wasteful number, since it uses less digits than its factorization.

560390680080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 560390680080 in words is "five hundred sixty billion, three hundred ninety million, six hundred eighty thousand, eighty".