86157188175168 has 84 divisors (see below), whose sum is σ = 269404389559968. Its totient is φ = 26108238839040.

The previous prime is 86157188175131. The next prime is 86157188175211.

86157188175168 is a `hidden beast` number, since 8 + 6 + 15 + 7 + 1 + 88 + 17 + 516 + 8 = 666.

86157188175168 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×86157188175168² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 86157188175096 and 86157188175105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6799014196 + ... + 6799026867.

Almost surely, 2^{86157188175168} is an apocalyptic number.

86157188175168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86157188175168 is an abundant number, since it is smaller than the sum of its proper divisors (183247201384800).

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

86157188175168 is a wasteful number, since it uses less digits than its factorization.

86157188175168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13598041092 (or 13598041079 counting only the distinct ones).

The product of its digits is 180633600, while the sum is 72.

The spelling of 86157188175168 in words is "eighty-six trillion, one hundred fifty-seven billion, one hundred eighty-eight million, one hundred seventy-five thousand, one hundred sixty-eight".