86729091840 has 432 divisors, whose sum is σ = 323251568640. Its totient is φ = 21406556160.

The previous prime is 86729091749. The next prime is 86729091847. The reversal of 86729091840 is 4819092768.

It is not an unprimeable number, because it can be changed into a prime (86729091847) 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, 8208481 + ... + 8219039.

It is an arithmetic number, because the mean of its divisors is an integer number (748267520).

Almost surely, 2^86729091840 is an apocalyptic number.

86729091840 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 86729091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161625784320).

86729091840 is an abundant number, since it is smaller than the sum of its proper divisors (236522476800).

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

86729091840 is a wasteful number, since it uses less digits than its factorization.

86729091840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10640 (or 10623 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 86729091840 in words is "eighty-six billion, seven hundred twenty-nine million, ninety-one thousand, eight hundred forty".