868889161728 has 1560 divisors, whose sum is σ = 3321807627600. Its totient is φ = 224737099776.

The previous prime is 868889161667. The next prime is 868889161741. The reversal of 868889161728 is 827161988868.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8957620176 + ... + 8957620272.

Almost surely, 2^868889161728 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 868889161728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660903813800).

868889161728 is an abundant number, since it is smaller than the sum of its proper divisors (2452918465872).

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

868889161728 is a wasteful number, since it uses less digits than its factorization.

868889161728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 157 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 72.

The spelling of 868889161728 in words is "eight hundred sixty-eight billion, eight hundred eighty-nine million, one hundred sixty-one thousand, seven hundred twenty-eight".