86927547168 has 384 divisors, whose sum is σ = 317801594880. Its totient is φ = 22457088000.

The previous prime is 86927547151. The next prime is 86927547173. The reversal of 86927547168 is 86174572968.

86927547168 is a `hidden beast` number, since 8 + 6 + 9 + 27 + 547 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 12703428 + ... + 12710268.

It is an arithmetic number, because the mean of its divisors is an integer number (827608320).

Almost surely, 2^86927547168 is an apocalyptic number.

86927547168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86927547168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158900797440).

86927547168 is an abundant number, since it is smaller than the sum of its proper divisors (230874047712).

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

86927547168 is a wasteful number, since it uses less digits than its factorization.

86927547168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7069 (or 7055 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 86927547168 in words is "eighty-six billion, nine hundred twenty-seven million, five hundred forty-seven thousand, one hundred sixty-eight".