86538538533568 has 56 divisors (see below), whose sum is σ = 187377026935824. Its totient is φ = 39327141043200.

The previous prime is 86538538533563. The next prime is 86538538533569. The reversal of 86538538533568 is 86533583583568.

It is a happy number.

86538538533568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 86538538533494 and 86538538533503.

It is not an unprimeable number, because it can be changed into a prime (86538538533563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10133743 + ... + 16606318.

Almost surely, 2^{86538538533568} is an apocalyptic number.

86538538533568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86538538533568 is an abundant number, since it is smaller than the sum of its proper divisors (100838488402256).

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

86538538533568 is a wasteful number, since it uses less digits than its factorization.

86538538533568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26744681 (or 26744671 counting only the distinct ones).

The product of its digits is 7464960000, while the sum is 76.

The spelling of 86538538533568 in words is "eighty-six trillion, five hundred thirty-eight billion, five hundred thirty-eight million, five hundred thirty-three thousand, five hundred sixty-eight".