86859642144 has 96 divisors (see below), whose sum is σ = 248899694400. Its totient is φ = 26303616000.

The previous prime is 86859642131. The next prime is 86859642151. The reversal of 86859642144 is 44124695868.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1609194 + ... + 1662294.

It is an arithmetic number, because the mean of its divisors is an integer number (2592705150).

Almost surely, 2^86859642144 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 86859642144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124449847200).

86859642144 is an abundant number, since it is smaller than the sum of its proper divisors (162040052256).

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

86859642144 is a wasteful number, since it uses less digits than its factorization.

86859642144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54674 (or 54666 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 57.

The spelling of 86859642144 in words is "eighty-six billion, eight hundred fifty-nine million, six hundred forty-two thousand, one hundred forty-four".