86006384760 has 128 divisors (see below), whose sum is σ = 264221844480. Its totient is φ = 22386329088.

The previous prime is 86006384753. The next prime is 86006384767. The reversal of 86006384760 is 6748360068.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86006384753) and next prime (86006384767).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86006384767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2083279 + ... + 2124161.

It is an arithmetic number, because the mean of its divisors is an integer number (2064233160).

Almost surely, 2^86006384760 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 86006384760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132110922240).

86006384760 is an abundant number, since it is smaller than the sum of its proper divisors (178215459720).

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

86006384760 is a wasteful number, since it uses less digits than its factorization.

86006384760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41317 (or 41313 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 86006384760 in words is "eighty-six billion, six million, three hundred eighty-four thousand, seven hundred sixty".