86710139764224 has 480 divisors, whose sum is σ = 248539184974080. Its totient is φ = 26841430425600.

The previous prime is 86710139764207. The next prime is 86710139764267. The reversal of 86710139764224 is 42246793101768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3760348407 + ... + 3760371465.

It is an arithmetic number, because the mean of its divisors is an integer number (517789968696).

Almost surely, 2^{86710139764224} 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 86710139764224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124269592487040).

86710139764224 is an abundant number, since it is smaller than the sum of its proper divisors (161829045209856).

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

86710139764224 is a wasteful number, since it uses less digits than its factorization.

86710139764224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23250 (or 23205 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 86710139764224 in words is "eighty-six trillion, seven hundred ten billion, one hundred thirty-nine million, seven hundred sixty-four thousand, two hundred twenty-four".