560981710368 has 240 divisors, whose sum is σ = 1660540959000. Its totient is φ = 185783943168.

The previous prime is 560981710343. The next prime is 560981710403. The reversal of 560981710368 is 863017189065.

560981710368 is a `hidden beast` number, since 5 + 609 + 8 + 17 + 10 + 3 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 548743155984 + 12238554384 = 740772^2 + 110628^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 456453178 + ... + 456454406.

Almost surely, 2^560981710368 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 560981710368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830270479500).

560981710368 is an abundant number, since it is smaller than the sum of its proper divisors (1099559248632).

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

560981710368 is a wasteful number, since it uses less digits than its factorization.

560981710368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 560981710368 in words is "five hundred sixty billion, nine hundred eighty-one million, seven hundred ten thousand, three hundred sixty-eight".