5675616165765 has 64 divisors (see below), whose sum is σ = 11176958016000. Its totient is φ = 2394908135424.

The previous prime is 5675616165761. The next prime is 5675616165781.

5675616165765 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5675616165765 - 2² = 5675616165761 is a prime.

It is a super-4 number, since 4×5675616165765⁴ (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5675616165696 and 5675616165705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5675616165761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66690961 + ... + 66776009.

It is an arithmetic number, because the mean of its divisors is an integer number (174639969000).

Almost surely, 2^{5675616165765} is an apocalyptic number.

It is an amenable number.

5675616165765 is a deficient number, since it is larger than the sum of its proper divisors (5501341850235).

5675616165765 is a wasteful number, since it uses less digits than its factorization.

5675616165765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133966.

The product of its digits is 238140000, while the sum is 66.

The spelling of 5675616165765 in words is "five trillion, six hundred seventy-five billion, six hundred sixteen million, one hundred sixty-five thousand, seven hundred sixty-five".