86858313360 has 480 divisors, whose sum is σ = 339968990592. Its totient is φ = 18182062080.

The previous prime is 86858313343. The next prime is 86858313383. The reversal of 86858313360 is 6331385868.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20025112 + ... + 20029448.

Almost surely, 2^86858313360 is an apocalyptic number.

86858313360 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 86858313360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169984495296).

86858313360 is an abundant number, since it is smaller than the sum of its proper divisors (253110677232).

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

86858313360 is a wasteful number, since it uses less digits than its factorization.

86858313360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4511 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 86858313360 in words is "eighty-six billion, eight hundred fifty-eight million, three hundred thirteen thousand, three hundred sixty".