86124566542168 has 288 divisors, whose sum is σ = 214983737448480. Its totient is φ = 31656850790400.

The previous prime is 86124566542129. The next prime is 86124566542213.

86124566542168 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 589445730 + ... + 589591822.

It is an arithmetic number, because the mean of its divisors is an integer number (746471310585).

Almost surely, 2^{86124566542168} is an apocalyptic number.

86124566542168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86124566542168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107491868724240).

86124566542168 is an abundant number, since it is smaller than the sum of its proper divisors (128859170906312).

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

86124566542168 is a wasteful number, since it uses less digits than its factorization.

86124566542168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146407 (or 146373 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 64.

The spelling of 86124566542168 in words is "eighty-six trillion, one hundred twenty-four billion, five hundred sixty-six million, five hundred forty-two thousand, one hundred sixty-eight".