86311181328 has 80 divisors (see below), whose sum is σ = 231830786880. Its totient is φ = 27637216768.

The previous prime is 86311181323. The next prime is 86311181381. The reversal of 86311181328 is 82318111368.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 86311181328.

It is not an unprimeable number, because it can be changed into a prime (86311181323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116851 + ... + 431597.

It is an arithmetic number, because the mean of its divisors is an integer number (2897884836).

Almost surely, 2^86311181328 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 86311181328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115915393440).

86311181328 is an abundant number, since it is smaller than the sum of its proper divisors (145519605552).

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

86311181328 is a wasteful number, since it uses less digits than its factorization.

86311181328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314984 (or 314978 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The spelling of 86311181328 in words is "eighty-six billion, three hundred eleven million, one hundred eighty-one thousand, three hundred twenty-eight".