86384322478080 has 3264 divisors, whose sum is σ = 369512007782400. Its totient is φ = 19059336806400.

The previous prime is 86384322478057. The next prime is 86384322478081. The reversal of 86384322478080 is 8087422348368.

86384322478080 is a `hidden beast` number, since 8 + 6 + 3 + 8 + 432 + 2 + 47 + 80 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 86384322477999 and 86384322478017.

It is not an unprimeable number, because it can be changed into a prime (86384322478081) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 630542499772 + ... + 630542499908.

Almost surely, 2^{86384322478080} is an apocalyptic number.

86384322478080 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 86384322478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184756003891200).

86384322478080 is an abundant number, since it is smaller than the sum of its proper divisors (283127685304320).

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

86384322478080 is a wasteful number, since it uses less digits than its factorization.

86384322478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 86384322478080 in words is "eighty-six trillion, three hundred eighty-four billion, three hundred twenty-two million, four hundred seventy-eight thousand, eighty".