86024488128 has 448 divisors, whose sum is σ = 254049288192. Its totient is φ = 25603522560.

The previous prime is 86024488117. The next prime is 86024488129. The reversal of 86024488128 is 82188442068.

It is not an unprimeable number, because it can be changed into a prime (86024488129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 761278600 + ... + 761278712.

It is an arithmetic number, because the mean of its divisors is an integer number (567074304).

Almost surely, 2^86024488128 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 86024488128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127024644096).

86024488128 is an abundant number, since it is smaller than the sum of its proper divisors (168024800064).

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

86024488128 is a wasteful number, since it uses less digits than its factorization.

86024488128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 51.

The spelling of 86024488128 in words is "eighty-six billion, twenty-four million, four hundred eighty-eight thousand, one hundred twenty-eight".