86315581110 has 288 divisors, whose sum is σ = 237955747680. Its totient is φ = 20013593600.

The previous prime is 86315581081. The next prime is 86315581123. The reversal of 86315581110 is 1118551368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 969837946 + ... + 969838034.

It is an arithmetic number, because the mean of its divisors is an integer number (826235235).

Almost surely, 2^86315581110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86315581110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118977873840).

86315581110 is an abundant number, since it is smaller than the sum of its proper divisors (151640166570).

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

86315581110 is a wasteful number, since it uses less digits than its factorization.

86315581110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 39.

The spelling of 86315581110 in words is "eighty-six billion, three hundred fifteen million, five hundred eighty-one thousand, one hundred ten".