86547581568 has 256 divisors, whose sum is σ = 307292544000. Its totient is φ = 23426288640.

The previous prime is 86547581551. The next prime is 86547581623. The reversal of 86547581568 is 86518574568.

86547581568 is a `hidden beast` number, since 8 + 6 + 5 + 47 + 581 + 5 + 6 + 8 = 666.

It is a super-2 number, since 2×86547581568² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 365503 + ... + 553793.

It is an arithmetic number, because the mean of its divisors is an integer number (1200361500).

Almost surely, 2^86547581568 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 86547581568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153646272000).

86547581568 is an abundant number, since it is smaller than the sum of its proper divisors (220744962432).

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

86547581568 is a wasteful number, since it uses less digits than its factorization.

86547581568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188340 (or 188322 counting only the distinct ones).

The product of its digits is 64512000, while the sum is 63.

The spelling of 86547581568 in words is "eighty-six billion, five hundred forty-seven million, five hundred eighty-one thousand, five hundred sixty-eight".