5617289005677 has 32 divisors (see below), whose sum is σ = 8552628163200. Its totient is φ = 3641796619776.

The previous prime is 5617289005667. The next prime is 5617289005709. The reversal of 5617289005677 is 7765009827165.

5617289005677 is a `hidden beast` number, since 5 + 61 + 7 + 2 + 8 + 9 + 0 + 0 + 567 + 7 = 666.

It is not a de Polignac number, because 5617289005677 - 2⁴ = 5617289005661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5617289005667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10298148 + ... + 10829885.

It is an arithmetic number, because the mean of its divisors is an integer number (267269630100).

Almost surely, 2^{5617289005677} is an apocalyptic number.

It is an amenable number.

5617289005677 is a deficient number, since it is larger than the sum of its proper divisors (2935339157523).

5617289005677 is a wasteful number, since it uses less digits than its factorization.

5617289005677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21128314 (or 21128308 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 5617289005677 in words is "five trillion, six hundred seventeen billion, two hundred eighty-nine million, five thousand, six hundred seventy-seven".