86668558841592 has 2304 divisors, whose sum is σ = 324651956428800. Its totient is φ = 20637688135680.

The previous prime is 86668558841533. The next prime is 86668558841639. The reversal of 86668558841592 is 29514885586668.

It is a super-2 number, since 2×86668558841592² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 282308009103 + ... + 282308009409.

It is an arithmetic number, because the mean of its divisors is an integer number (140907967200).

Almost surely, 2^{86668558841592} 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 86668558841592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162325978214400).

86668558841592 is an abundant number, since it is smaller than the sum of its proper divisors (237983397587208).

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

86668558841592 is a wasteful number, since it uses less digits than its factorization.

86668558841592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 572 counting only the distinct ones).

The product of its digits is 7962624000, while the sum is 81.

The spelling of 86668558841592 in words is "eighty-six trillion, six hundred sixty-eight billion, five hundred fifty-eight million, eight hundred forty-one thousand, five hundred ninety-two".