5665561115600 has 240 divisors, whose sum is σ = 14149926601200. Its totient is φ = 2177378058240.

The previous prime is 5665561115579. The next prime is 5665561115653. The reversal of 5665561115600 is 65111655665.

It can be written as a sum of positive squares in 24 ways, for example, as 658188218944 + 5007372896656 = 811288^2 + 2237716^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2344045592 + ... + 2344048008.

It is an arithmetic number, because the mean of its divisors is an integer number (58958027505).

Almost surely, 2^{5665561115600} is an apocalyptic number.

5665561115600 is a gapful number since it is divisible by the number (50) 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 5665561115600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7074963300600).

5665561115600 is an abundant number, since it is smaller than the sum of its proper divisors (8484365485600).

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

5665561115600 is a wasteful number, since it uses less digits than its factorization.

5665561115600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 47.

The spelling of 5665561115600 in words is "five trillion, six hundred sixty-five billion, five hundred sixty-one million, one hundred fifteen thousand, six hundred".