86690055168 has 352 divisors, whose sum is σ = 267110901120. Its totient is φ = 27749744640.

The previous prime is 86690055157. The next prime is 86690055223. The reversal of 86690055168 is 86155009668.

It is a happy number.

86690055168 is a `hidden beast` number, since 86 + 6 + 9 + 0 + 0 + 551 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84906498 + ... + 84907518.

Almost surely, 2^86690055168 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 86690055168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133555450560).

86690055168 is an abundant number, since it is smaller than the sum of its proper divisors (180420845952).

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

86690055168 is a wasteful number, since it uses less digits than its factorization.

86690055168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 86690055168 in words is "eighty-six billion, six hundred ninety million, fifty-five thousand, one hundred sixty-eight".