86445608508 has 288 divisors, whose sum is σ = 272772360000. Its totient is φ = 23575394304.

The previous prime is 86445608467. The next prime is 86445608531. The reversal of 86445608508 is 80580654468.

86445608508 is a `hidden beast` number, since 86 + 4 + 4 + 56 + 0 + 8 + 508 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13655488 + ... + 13661816.

It is an arithmetic number, because the mean of its divisors is an integer number (947126250).

Almost surely, 2^86445608508 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 86445608508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136386180000).

86445608508 is an abundant number, since it is smaller than the sum of its proper divisors (186326751492).

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

86445608508 is a wasteful number, since it uses less digits than its factorization.

86445608508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6474 (or 6459 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 86445608508 in words is "eighty-six billion, four hundred forty-five million, six hundred eight thousand, five hundred eight".