5959366560 has 384 divisors, whose sum is σ = 24397148160. Its totient is φ = 1330172928.

The previous prime is 5959366559. The next prime is 5959366577. The reversal of 5959366560 is 656639595.

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 = 5959366497 and 5959366506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1298029 + ... + 1302611.

It is an arithmetic number, because the mean of its divisors is an integer number (63534240).

Almost surely, 2^5959366560 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 5959366560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12198574080).

5959366560 is an abundant number, since it is smaller than the sum of its proper divisors (18437781600).

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

5959366560 is a wasteful number, since it uses less digits than its factorization.

5959366560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4657 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 6561000, while the sum is 54.

The square root of 5959366560 is about 77196.9336178582. The cubic root of 5959366560 is about 1813.0093056885.

The spelling of 5959366560 in words is "five billion, nine hundred fifty-nine million, three hundred sixty-six thousand, five hundred sixty".