5809561325568 has 3120 divisors, whose sum is σ = 25254176141376. Its totient is φ = 1310966415360.

The previous prime is 5809561325543. The next prime is 5809561325593. The reversal of 5809561325568 is 8655231659085.

5809561325568 is a `hidden beast` number, since 5 + 8 + 0 + 9 + 5 + 61 + 3 + 2 + 5 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (5809561325543) and next prime (5809561325593).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 341738901496 + ... + 341738901512.

Almost surely, 2^{5809561325568} 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 5809561325568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12627088070688).

5809561325568 is an abundant number, since it is smaller than the sum of its proper divisors (19444614815808).

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

5809561325568 is an equidigital number, since it uses as much as digits as its factorization.

5809561325568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 77760000, while the sum is 63.

The spelling of 5809561325568 in words is "five trillion, eight hundred nine billion, five hundred sixty-one million, three hundred twenty-five thousand, five hundred sixty-eight".