86091789168 has 320 divisors, whose sum is σ = 308551680000. Its totient is φ = 22328144640.

The previous prime is 86091789151. The next prime is 86091789197. The reversal of 86091789168 is 86198719068.

86091789168 is a `hidden beast` number, since 8 + 609 + 1 + 7 + 8 + 9 + 16 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28705333 + ... + 28708331.

It is an arithmetic number, because the mean of its divisors is an integer number (964224000).

Almost surely, 2^86091789168 is an apocalyptic number.

86091789168 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 86091789168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154275840000).

86091789168 is an abundant number, since it is smaller than the sum of its proper divisors (222459890832).

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

86091789168 is a wasteful number, since it uses less digits than its factorization.

86091789168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 86091789168 in words is "eighty-six billion, ninety-one million, seven hundred eighty-nine thousand, one hundred sixty-eight".