86067512160 has 288 divisors, whose sum is σ = 325552131072. Its totient is φ = 19037813760.

The previous prime is 86067512143. The next prime is 86067512171. The reversal of 86067512160 is 6121576068.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670099 + ... + 788141.

It is an arithmetic number, because the mean of its divisors is an integer number (1130389344).

Almost surely, 2^86067512160 is an apocalyptic number.

86067512160 is a gapful number since it is divisible by the number (80) 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 86067512160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162776065536).

86067512160 is an abundant number, since it is smaller than the sum of its proper divisors (239484618912).

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

86067512160 is a wasteful number, since it uses less digits than its factorization.

86067512160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118106 (or 118091 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 86067512160 in words is "eighty-six billion, sixty-seven million, five hundred twelve thousand, one hundred sixty".