86367716160 has 448 divisors, whose sum is σ = 310623289344. Its totient is φ = 20142489600.

The previous prime is 86367716143. The next prime is 86367716167. The reversal of 86367716160 is 6161776368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86367716167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63179797 + ... + 63181163.

Almost surely, 2^86367716160 is an apocalyptic number.

86367716160 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 86367716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155311644672).

86367716160 is an abundant number, since it is smaller than the sum of its proper divisors (224255573184).

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

86367716160 is a wasteful number, since it uses less digits than its factorization.

86367716160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 86367716160 in words is "eighty-six billion, three hundred sixty-seven million, seven hundred sixteen thousand, one hundred sixty".