868216527360 has 1920 divisors, whose sum is σ = 3928673548800. Its totient is φ = 182598893568.

The previous prime is 868216527331. The next prime is 868216527397. The reversal of 868216527360 is 63725612868.

868216527360 is a `hidden beast` number, since 8 + 6 + 82 + 1 + 6 + 527 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 868216527297 and 868216527306.

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 191 ways as a sum of consecutive naturals, for example, 2773854564 + ... + 2773854876.

It is an arithmetic number, because the mean of its divisors is an integer number (2046184140).

Almost surely, 2^868216527360 is an apocalyptic number.

868216527360 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 868216527360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964336774400).

868216527360 is an abundant number, since it is smaller than the sum of its proper divisors (3060457021440).

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

868216527360 is an equidigital number, since it uses as much as digits as its factorization.

868216527360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 868216527360 in words is "eight hundred sixty-eight billion, two hundred sixteen million, five hundred twenty-seven thousand, three hundred sixty".