86728557168 has 200 divisors, whose sum is σ = 274125240576. Its totient is φ = 26253763200.

The previous prime is 86728557143. The next prime is 86728557169. The reversal of 86728557168 is 86175582768.

86728557168 is a `hidden beast` number, since 8 + 6 + 72 + 8 + 557 + 1 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86728557169) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16577113 + ... + 16582343.

Almost surely, 2^86728557168 is an apocalyptic number.

86728557168 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 86728557168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137062620288).

86728557168 is an abundant number, since it is smaller than the sum of its proper divisors (187396683408).

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

86728557168 is a wasteful number, since it uses less digits than its factorization.

86728557168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6425 (or 6410 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 63.

The spelling of 86728557168 in words is "eighty-six billion, seven hundred twenty-eight million, five hundred fifty-seven thousand, one hundred sixty-eight".