560604217140 has 144 divisors (see below), whose sum is σ = 1855462504896. Its totient is φ = 135876787200.

The previous prime is 560604217133. The next prime is 560604217153. The reversal of 560604217140 is 41712406065.

560604217140 is a `hidden beast` number, since 5 + 6 + 0 + 604 + 2 + 1 + 7 + 1 + 40 = 666.

560604217140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×560604217140³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 560604217095 and 560604217104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10905939 + ... + 10957221.

It is an arithmetic number, because the mean of its divisors is an integer number (12885156284).

Almost surely, 2^560604217140 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 560604217140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927731252448).

560604217140 is an abundant number, since it is smaller than the sum of its proper divisors (1294858287756).

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

560604217140 is a wasteful number, since it uses less digits than its factorization.

560604217140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56830 (or 56825 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 560604217140 in words is "five hundred sixty billion, six hundred four million, two hundred seventeen thousand, one hundred forty".