86939218080 has 1152 divisors, whose sum is σ = 380942714880. Its totient is φ = 18408591360.

The previous prime is 86939218057. The next prime is 86939218111. The reversal of 86939218080 is 8081293968.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 105636549 + ... + 105637371.

It is an arithmetic number, because the mean of its divisors is an integer number (330679440).

Almost surely, 2^86939218080 is an apocalyptic number.

86939218080 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 86939218080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190471357440).

86939218080 is an abundant number, since it is smaller than the sum of its proper divisors (294003496800).

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

86939218080 is a wasteful number, since it uses less digits than its factorization.

86939218080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 86939218080 in words is "eighty-six billion, nine hundred thirty-nine million, two hundred eighteen thousand, eighty".