86113589760 has 1440 divisors, whose sum is σ = 366771525120. Its totient is φ = 18555863040.

The previous prime is 86113589719. The next prime is 86113589791. The reversal of 86113589760 is 6798531168.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a junction number, because it is equal to n+sod(n) for n = 86113589697 and 86113589706.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1090045401 + ... + 1090045479.

It is an arithmetic number, because the mean of its divisors is an integer number (254702448).

Almost surely, 2^86113589760 is an apocalyptic number.

86113589760 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 86113589760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183385762560).

86113589760 is an abundant number, since it is smaller than the sum of its proper divisors (280657935360).

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

86113589760 is a wasteful number, since it uses less digits than its factorization.

86113589760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 86113589760 in words is "eighty-six billion, one hundred thirteen million, five hundred eighty-nine thousand, seven hundred sixty".