560952095760 has 480 divisors, whose sum is σ = 2217286656000. Its totient is φ = 124443730944.

The previous prime is 560952095749. The next prime is 560952095773. The reversal of 560952095760 is 67590259065.

It is a happy number.

560952095760 is a `hidden beast` number, since 5 + 6 + 0 + 9 + 520 + 9 + 57 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 560952095697 and 560952095706.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23479501 + ... + 23503379.

It is an arithmetic number, because the mean of its divisors is an integer number (4619347200).

Almost surely, 2^560952095760 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 560952095760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108643328000).

560952095760 is an abundant number, since it is smaller than the sum of its proper divisors (1656334560240).

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

560952095760 is a wasteful number, since it uses less digits than its factorization.

560952095760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24043 (or 24034 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 560952095760 in words is "five hundred sixty billion, nine hundred fifty-two million, ninety-five thousand, seven hundred sixty".