86384318161320 has 320 divisors, whose sum is σ = 292626653616000. Its totient is φ = 22950126897408.

The previous prime is 86384318161319. The next prime is 86384318161333. The reversal of 86384318161320 is 2316181348368.

86384318161320 is a `hidden beast` number, since 8 + 6 + 3 + 8 + 4 + 3 + 18 + 1 + 613 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 211585141 + ... + 211993019.

It is an arithmetic number, because the mean of its divisors is an integer number (914458292550).

Almost surely, 2^{86384318161320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86384318161320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146313326808000).

86384318161320 is an abundant number, since it is smaller than the sum of its proper divisors (206242335454680).

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

86384318161320 is an equidigital number, since it uses as much as digits as its factorization.

86384318161320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408186 (or 408158 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 86384318161320 in words is "eighty-six trillion, three hundred eighty-four billion, three hundred eighteen million, one hundred sixty-one thousand, three hundred twenty".