8266566560 has 144 divisors (see below), whose sum is σ = 22771967400. Its totient is φ = 2827560960.

The previous prime is 8266566541. The next prime is 8266566563. The reversal of 8266566560 is 656656628.

It can be written as a sum of positive squares in 4 ways, for example, as 7288378384 + 978188176 = 85372^2 + 31276^2 .

It is a super-2 number, since 2×8266566560² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8266566499 and 8266566508.

It is not an unprimeable number, because it can be changed into a prime (8266566563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4240466 + ... + 4242414.

Almost surely, 2^8266566560 is an apocalyptic number.

8266566560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8266566560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11385983700).

8266566560 is an abundant number, since it is smaller than the sum of its proper divisors (14505400840).

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

8266566560 is a wasteful number, since it uses less digits than its factorization.

8266566560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 50.

The square root of 8266566560 is about 90920.6607983026. The cubic root of 8266566560 is about 2021.9716200524.

The spelling of 8266566560 in words is "eight billion, two hundred sixty-six million, five hundred sixty-six thousand, five hundred sixty".