86605883801760 has 192 divisors, whose sum is σ = 275271855667200. Its totient is φ = 22887292032000.

The previous prime is 86605883801713. The next prime is 86605883801783. The reversal of 86605883801760 is 6710838850668.

It is a junction number, because it is equal to n+sod(n) for n = 86605883801691 and 86605883801700.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22169389 + ... + 25781651.

It is an arithmetic number, because the mean of its divisors is an integer number (1433707581600).

Almost surely, 2^{86605883801760} is an apocalyptic number.

86605883801760 is a gapful number since it is divisible by the number (80) 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 86605883801760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137635927833600).

86605883801760 is an abundant number, since it is smaller than the sum of its proper divisors (188665971865440).

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

86605883801760 is a wasteful number, since it uses less digits than its factorization.

86605883801760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612731 (or 3612723 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 66.

The spelling of 86605883801760 in words is "eighty-six trillion, six hundred five billion, eight hundred eighty-three million, eight hundred one thousand, seven hundred sixty".