5288616168825 has 192 divisors, whose sum is σ = 9963266310144. Its totient is φ = 2452118400000.

The previous prime is 5288616168791. The next prime is 5288616168827.

5288616168825 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5288616168825 - 2¹¹ = 5288616166777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5288616168827) 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 191 ways as a sum of consecutive naturals, for example, 1567924839 + ... + 1567928211.

It is an arithmetic number, because the mean of its divisors is an integer number (51892012032).

Almost surely, 2^{5288616168825} is an apocalyptic number.

5288616168825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5288616168825 is a deficient number, since it is larger than the sum of its proper divisors (4674650141319).

5288616168825 is a wasteful number, since it uses less digits than its factorization.

5288616168825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4131 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 66.

The spelling of 5288616168825 in words is "five trillion, two hundred eighty-eight billion, six hundred sixteen million, one hundred sixty-eight thousand, eight hundred twenty-five".