86931865728 has 384 divisors, whose sum is σ = 273764050560. Its totient is φ = 26398310400.

The previous prime is 86931865717. The next prime is 86931865729. The reversal of 86931865728 is 82756813968.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (86931865729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46711518 + ... + 46713378.

It is an arithmetic number, because the mean of its divisors is an integer number (712927215).

Almost surely, 2^86931865728 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 86931865728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136882025280).

86931865728 is an abundant number, since it is smaller than the sum of its proper divisors (186832184832).

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

86931865728 is a wasteful number, since it uses less digits than its factorization.

86931865728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1973 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 86931865728 in words is "eighty-six billion, nine hundred thirty-one million, eight hundred sixty-five thousand, seven hundred twenty-eight".