565827728565 has 32 divisors (see below), whose sum is σ = 1021682678400. Its totient is φ = 264880689920.

The previous prime is 565827728551. The next prime is 565827728597.

565827728565 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 565827728565 - 2⁵ = 565827728533 is a prime.

It is a super-4 number, since 4×565827728565⁴ (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 565827728496 and 565827728505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59120370 + ... + 59129939.

It is an arithmetic number, because the mean of its divisors is an integer number (31927583700).

Almost surely, 2^565827728565 is an apocalyptic number.

565827728565 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

565827728565 is a deficient number, since it is larger than the sum of its proper divisors (455854949835).

565827728565 is a wasteful number, since it uses less digits than its factorization.

565827728565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118250357.

The product of its digits is 282240000, while the sum is 66.

The spelling of 565827728565 in words is "five hundred sixty-five billion, eight hundred twenty-seven million, seven hundred twenty-eight thousand, five hundred sixty-five".