86108742720 has 2016 divisors, whose sum is σ = 430284306816. Its totient is φ = 15482880000.

The previous prime is 86108742689. The next prime is 86108742721. The reversal of 86108742720 is 2724780168.

86108742720 is a `hidden beast` number, since 8 + 610 + 8 + 7 + 4 + 2 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (86108742721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 343062595 + ... + 343062845.

It is an arithmetic number, because the mean of its divisors is an integer number (213434676).

Almost surely, 2^86108742720 is an apocalyptic number.

86108742720 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 86108742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215142153408).

86108742720 is an abundant number, since it is smaller than the sum of its proper divisors (344175564096).

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

86108742720 is a wasteful number, since it uses less digits than its factorization.

86108742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

It can be divided in two parts, 86108 and 742720, that added together give a palindrome (828828).

The spelling of 86108742720 in words is "eighty-six billion, one hundred eight million, seven hundred forty-two thousand, seven hundred twenty".