86558627448 has 144 divisors (see below), whose sum is σ = 242518741920. Its totient is φ = 27887182848.

The previous prime is 86558627447. The next prime is 86558627509. The reversal of 86558627448 is 84472685568.

86558627448 is a `hidden beast` number, since 8 + 6 + 5 + 586 + 2 + 7 + 4 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86558627447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12910065 + ... + 12916767.

It is an arithmetic number, because the mean of its divisors is an integer number (1684157930).

Almost surely, 2^86558627448 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 86558627448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121259370960).

86558627448 is an abundant number, since it is smaller than the sum of its proper divisors (155960114472).

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

86558627448 is a wasteful number, since it uses less digits than its factorization.

86558627448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6898 (or 6848 counting only the distinct ones).

The product of its digits is 103219200, while the sum is 63.

The spelling of 86558627448 in words is "eighty-six billion, five hundred fifty-eight million, six hundred twenty-seven thousand, four hundred forty-eight".