867589868985768 has 256 divisors, whose sum is σ = 2554149840480000. Its totient is φ = 272385302999040.

The previous prime is 867589868985737. The next prime is 867589868985793.

It is a happy number.

867589868985768 is a `hidden beast` number, since 8 + 6 + 7 + 5 + 8 + 9 + 8 + 6 + 8 + 9 + 8 + 576 + 8 = 666.

867589868985768 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (108).

It is a self number, because there is not a number n which added to its sum of digits gives 867589868985768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2508740755 + ... + 2509086557.

It is an arithmetic number, because the mean of its divisors is an integer number (9977147814375).

Almost surely, 2^{867589868985768} 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 867589868985768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277074920240000).

867589868985768 is an abundant number, since it is smaller than the sum of its proper divisors (1686559971494232).

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

867589868985768 is a wasteful number, since it uses less digits than its factorization.

867589868985768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355657 (or 355647 counting only the distinct ones).

The product of its digits is 5618427494400, while the sum is 108.

The spelling of 867589868985768 in words is "eight hundred sixty-seven trillion, five hundred eighty-nine billion, eight hundred sixty-eight million, nine hundred eighty-five thousand, seven hundred sixty-eight".