5593656306960 has 360 divisors, whose sum is σ = 19597771856520. Its totient is φ = 1429672108032.

The previous prime is 5593656306949. The next prime is 5593656306983. The reversal of 5593656306960 is 696036563955.

5593656306960 is a `hidden beast` number, since 5 + 5 + 9 + 3 + 6 + 563 + 0 + 6 + 9 + 60 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2613641288976 + 2980015017984 = 1616676^2 + 1726272^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82922526 + ... + 82989954.

It is an arithmetic number, because the mean of its divisors is an integer number (54438255157).

Almost surely, 2^{5593656306960} 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 5593656306960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9798885928260).

5593656306960 is an abundant number, since it is smaller than the sum of its proper divisors (14004115549560).

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

5593656306960 is a wasteful number, since it uses less digits than its factorization.

5593656306960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67643 (or 67605 counting only the distinct ones).

The product of its (nonzero) digits is 118098000, while the sum is 63.

The spelling of 5593656306960 in words is "five trillion, five hundred ninety-three billion, six hundred fifty-six million, three hundred six thousand, nine hundred sixty".