5667580857665 has 8 divisors (see below), whose sum is σ = 6802269464808. Its totient is φ = 4533283062400.

The previous prime is 5667580857649. The next prime is 5667580857671.

5667580857665 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 766878512656 + 4900702345009 = 875716^2 + 2213753^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 5667580857665 - 2⁴ = 5667580857649 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5667580857592 and 5667580857601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97671062 + ... + 97729071.

It is an arithmetic number, because the mean of its divisors is an integer number (850283683101).

Almost surely, 2^{5667580857665} is an apocalyptic number.

It is an amenable number.

5667580857665 is a deficient number, since it is larger than the sum of its proper divisors (1134688607143).

5667580857665 is a wasteful number, since it uses less digits than its factorization.

5667580857665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195405939.

The product of its (nonzero) digits is 2540160000, while the sum is 74.

The spelling of 5667580857665 in words is "five trillion, six hundred sixty-seven billion, five hundred eighty million, eight hundred fifty-seven thousand, six hundred sixty-five".