86513430168 has 192 divisors, whose sum is σ = 270885513600. Its totient is φ = 24652016640.

The previous prime is 86513430161. The next prime is 86513430197. The reversal of 86513430168 is 86103431568.

86513430168 is a `hidden beast` number, since 8 + 6 + 51 + 3 + 430 + 168 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86513430161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20503563 + ... + 20507781.

It is an arithmetic number, because the mean of its divisors is an integer number (1410862050).

Almost surely, 2^86513430168 is an apocalyptic number.

86513430168 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 86513430168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135442756800).

86513430168 is an abundant number, since it is smaller than the sum of its proper divisors (184372083432).

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

86513430168 is a wasteful number, since it uses less digits than its factorization.

86513430168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5782 (or 5775 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 86513430168 in words is "eighty-six billion, five hundred thirteen million, four hundred thirty thousand, one hundred sixty-eight".