86755566555768 has 64 divisors (see below), whose sum is σ = 238776788764800. Its totient is φ = 26048376938880.

The previous prime is 86755566555767. The next prime is 86755566555809.

86755566555768 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×86755566555768² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86755566555761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1507400446 + ... + 1507457997.

It is an arithmetic number, because the mean of its divisors is an integer number (3730887324450).

Almost surely, 2^{86755566555768} is an apocalyptic number.

86755566555768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86755566555768 is an abundant number, since it is smaller than the sum of its proper divisors (152021222209032).

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

86755566555768 is a wasteful number, since it uses less digits than its factorization.

86755566555768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014858572 (or 3014858568 counting only the distinct ones).

The product of its digits is 63504000000, while the sum is 84.

The spelling of 86755566555768 in words is "eighty-six trillion, seven hundred fifty-five billion, five hundred sixty-six million, five hundred fifty-five thousand, seven hundred sixty-eight".