86658911808 has 224 divisors, whose sum is σ = 270959689728. Its totient is φ = 23919667200.

The previous prime is 86658911797. The next prime is 86658911809. The reversal of 86658911808 is 80811985668.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (86658911809) 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 31 ways as a sum of consecutive naturals, for example, 30288298 + ... + 30291158.

It is an arithmetic number, because the mean of its divisors is an integer number (1209641472).

Almost surely, 2^86658911808 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 86658911808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135479844864).

86658911808 is an abundant number, since it is smaller than the sum of its proper divisors (184300777920).

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

86658911808 is a wasteful number, since it uses less digits than its factorization.

86658911808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3641 (or 3631 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 60.

The spelling of 86658911808 in words is "eighty-six billion, six hundred fifty-eight million, nine hundred eleven thousand, eight hundred eight".