86717784384 has 672 divisors, whose sum is σ = 323009971200. Its totient is φ = 22330598400.

The previous prime is 86717784343. The next prime is 86717784407. The reversal of 86717784384 is 48348771768.

86717784384 is a `hidden beast` number, since 8 + 6 + 7 + 177 + 84 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 261987099 + ... + 261987429.

It is an arithmetic number, because the mean of its divisors is an integer number (480669600).

Almost surely, 2^86717784384 is an apocalyptic number.

86717784384 is a gapful number since it is divisible by the number (84) 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 86717784384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161504985600).

86717784384 is an abundant number, since it is smaller than the sum of its proper divisors (236292186816).

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

86717784384 is a wasteful number, since it uses less digits than its factorization.

86717784384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 533 counting only the distinct ones).

The product of its digits is 50577408, while the sum is 63.

The spelling of 86717784384 in words is "eighty-six billion, seven hundred seventeen million, seven hundred eighty-four thousand, three hundred eighty-four".