565056414720 has 1056 divisors, whose sum is σ = 2349772588800. Its totient is φ = 127704563712.

The previous prime is 565056414683. The next prime is 565056414721. The reversal of 565056414720 is 27414650565.

565056414720 is a `hidden beast` number, since 5 + 6 + 5 + 0 + 564 + 14 + 72 + 0 = 666.

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

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (565056414721) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6348948436 + ... + 6348948524.

Almost surely, 2^565056414720 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 565056414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174886294400).

565056414720 is an abundant number, since it is smaller than the sum of its proper divisors (1784716174080).

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

565056414720 is an frugal number, since it uses more digits than its factorization.

565056414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 565056414720 in words is "five hundred sixty-five billion, fifty-six million, four hundred fourteen thousand, seven hundred twenty".