5616306408960 has 800 divisors, whose sum is σ = 22410525947040. Its totient is φ = 1334785277952.

The previous prime is 5616306408941. The next prime is 5616306409019. The reversal of 5616306408960 is 698046036165.

5616306408960 is a `hidden beast` number, since 561 + 6 + 30 + 6 + 40 + 8 + 9 + 6 + 0 = 666.

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 = 5616306408897 and 5616306408906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78138799 + ... + 78210641.

Almost surely, 2^{5616306408960} 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 5616306408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11205262973520).

5616306408960 is an abundant number, since it is smaller than the sum of its proper divisors (16794219538080).

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

5616306408960 is a wasteful number, since it uses less digits than its factorization.

5616306408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71920 (or 71895 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 5616306408960 in words is "five trillion, six hundred sixteen billion, three hundred six million, four hundred eight thousand, nine hundred sixty".