86558662008 has 288 divisors, whose sum is σ = 294109489440. Its totient is φ = 22514319360.

The previous prime is 86558661997. The next prime is 86558662013. The reversal of 86558662008 is 80026685568.

86558662008 is a `hidden beast` number, since 8 + 6 + 5 + 5 + 8 + 6 + 620 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6210888 + ... + 6224808.

It is an arithmetic number, because the mean of its divisors is an integer number (1021213505).

Almost surely, 2^86558662008 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 86558662008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147054744720).

86558662008 is an abundant number, since it is smaller than the sum of its proper divisors (207550827432).

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

86558662008 is a wasteful number, since it uses less digits than its factorization.

86558662008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14039 (or 14019 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 86558662008 in words is "eighty-six billion, five hundred fifty-eight million, six hundred sixty-two thousand, eight".