86688177188668 has 48 divisors (see below), whose sum is σ = 172696985556480. Its totient is φ = 37689221240000.

The previous prime is 86688177188597. The next prime is 86688177188707.

86688177188668 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×86688177188668² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28403193 + ... + 31306831.

It is an arithmetic number, because the mean of its divisors is an integer number (3597853865760).

Almost surely, 2^{86688177188668} is an apocalyptic number.

It is an amenable number.

86688177188668 is a deficient number, since it is larger than the sum of its proper divisors (86008808367812).

86688177188668 is a wasteful number, since it uses less digits than its factorization.

86688177188668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933178 (or 2933176 counting only the distinct ones).

The product of its digits is 16647192576, while the sum is 88.

The spelling of 86688177188668 in words is "eighty-six trillion, six hundred eighty-eight billion, one hundred seventy-seven million, one hundred eighty-eight thousand, six hundred sixty-eight".