5566643896320 has 2040 divisors, whose sum is σ = 23195222782776. Its totient is φ = 1271981408256.

The previous prime is 5566643896313. The next prime is 5566643896321. The reversal of 5566643896320 is 236983466655.

It can be written as a sum of positive squares in 12 ways, for example, as 2160758882304 + 3405885014016 = 1469952^2 + 1845504^2 .

It is a tau number, because it is divible by the number of its divisors (2040).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5566643896321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 76255395804 + ... + 76255395876.

Almost surely, 2^{5566643896320} 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 5566643896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11597611391388).

5566643896320 is an abundant number, since it is smaller than the sum of its proper divisors (17628578886456).

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

5566643896320 is an equidigital number, since it uses as much as digits as its factorization.

5566643896320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 63.

The spelling of 5566643896320 in words is "five trillion, five hundred sixty-six billion, six hundred forty-three million, eight hundred ninety-six thousand, three hundred twenty".