5965565760 has 1120 divisors, whose sum is σ = 27439315200. Its totient is φ = 1219276800.

The previous prime is 5965565719. The next prime is 5965565777. The reversal of 5965565760 is 675655695.

It is a happy number.

5965565760 is a `hidden beast` number, since 5 + 9 + 6 + 5 + 565 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5965565697 and 5965565706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 97796130 + ... + 97796190.

Almost surely, 2^5965565760 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 5965565760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13719657600).

5965565760 is an abundant number, since it is smaller than the sum of its proper divisors (21473749440).

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

5965565760 is a wasteful number, since it uses less digits than its factorization.

5965565760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 8505000, while the sum is 54.

The square root of 5965565760 is about 77237.0750352446. The cubic root of 5965565760 is about 1813.6377456550.

The spelling of 5965565760 in words is "five billion, nine hundred sixty-five million, five hundred sixty-five thousand, seven hundred sixty".