86808066228 has 192 divisors, whose sum is σ = 251286739200. Its totient is φ = 25743329280.

The previous prime is 86808066217. The next prime is 86808066239. The reversal of 86808066228 is 82266080868.

86808066228 is a `hidden beast` number, since 8 + 6 + 8 + 0 + 8 + 0 + 6 + 622 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (86808066217) and next prime (86808066239).

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 63 ways as a sum of consecutive naturals, for example, 4768728 + ... + 4786896.

It is an arithmetic number, because the mean of its divisors is an integer number (1308785100).

Almost surely, 2^86808066228 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 86808066228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125643369600).

86808066228 is an abundant number, since it is smaller than the sum of its proper divisors (164478672972).

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

86808066228 is a wasteful number, since it uses less digits than its factorization.

86808066228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18319 (or 18311 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 86808066228 in words is "eighty-six billion, eight hundred eight million, sixty-six thousand, two hundred twenty-eight".