86404716768 has 576 divisors, whose sum is σ = 269711769600. Its totient is φ = 24077813760.

The previous prime is 86404716751. The next prime is 86404716809. The reversal of 86404716768 is 86761740468.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1093730553 + ... + 1093730631.

It is an arithmetic number, because the mean of its divisors is an integer number (468249600).

Almost surely, 2^86404716768 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 86404716768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134855884800).

86404716768 is an abundant number, since it is smaller than the sum of its proper divisors (183307052832).

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

86404716768 is a wasteful number, since it uses less digits than its factorization.

86404716768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 86404716768 in words is "eighty-six billion, four hundred four million, seven hundred sixteen thousand, seven hundred sixty-eight".