868381884000 has 672 divisors, whose sum is σ = 3217616910144. Its totient is φ = 230219366400.

The previous prime is 868381883969. The next prime is 868381884017. The reversal of 868381884000 is 488183868.

868381884000 is a `hidden beast` number, since 8 + 6 + 83 + 81 + 88 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 562787229 + ... + 562788771.

It is an arithmetic number, because the mean of its divisors is an integer number (4788120402).

Almost surely, 2^868381884000 is an apocalyptic number.

868381884000 is a gapful number since it is divisible by the number (80) 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 868381884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608808455072).

868381884000 is an abundant number, since it is smaller than the sum of its proper divisors (2349235026144).

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

868381884000 is a wasteful number, since it uses less digits than its factorization.

868381884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 868381884000 in words is "eight hundred sixty-eight billion, three hundred eighty-one million, eight hundred eighty-four thousand".