5605656616320 has 256 divisors, whose sum is σ = 17984222208000. Its totient is φ = 1485141073920.

The previous prime is 5605656616171. The next prime is 5605656616363. The reversal of 5605656616320 is 236166565065.

It is a super-2 number, since 2×5605656616320² (a number of 26 digits) contains 22 as substring.

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, 304001661 + ... + 304020099.

It is an arithmetic number, because the mean of its divisors is an integer number (70250868000).

Almost surely, 2^{5605656616320} 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 5605656616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8992111104000).

5605656616320 is an abundant number, since it is smaller than the sum of its proper divisors (12378565591680).

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

5605656616320 is a wasteful number, since it uses less digits than its factorization.

5605656616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19481 (or 19469 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 51.

The spelling of 5605656616320 in words is "five trillion, six hundred five billion, six hundred fifty-six million, six hundred sixteen thousand, three hundred twenty".