560065071456 has 288 divisors, whose sum is σ = 1838150496000. Its totient is φ = 159972848640.

The previous prime is 560065071431. The next prime is 560065071469. The reversal of 560065071456 is 654170560065.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 11954830 + ... + 12001586.

It is an arithmetic number, because the mean of its divisors is an integer number (6382467000).

Almost surely, 2^560065071456 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 560065071456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919075248000).

560065071456 is an abundant number, since it is smaller than the sum of its proper divisors (1278085424544).

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

560065071456 is a wasteful number, since it uses less digits than its factorization.

560065071456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47002 (or 46991 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

It can be divided in two parts, 5600 and 65071456, that added together give a palindrome (65077056).

The spelling of 560065071456 in words is "five hundred sixty billion, sixty-five million, seventy-one thousand, four hundred fifty-six".