868725513216 has 1056 divisors, whose sum is σ = 2975806369536. Its totient is φ = 252912844800.

The previous prime is 868725513211. The next prime is 868725513217. The reversal of 868725513216 is 612315527868.

868725513216 is a `hidden beast` number, since 8 + 6 + 8 + 72 + 551 + 3 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

Its product of digits (4838400) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868725513211) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 14241401826 + ... + 14241401886.

It is an arithmetic number, because the mean of its divisors is an integer number (2817998456).

Almost surely, 2^868725513216 is an apocalyptic number.

868725513216 is a gapful number since it is divisible by the number (86) 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 868725513216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487903184768).

868725513216 is an abundant number, since it is smaller than the sum of its proper divisors (2107080856320).

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

868725513216 is an equidigital number, since it uses as much as digits as its factorization.

868725513216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 120 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 868725513216 in words is "eight hundred sixty-eight billion, seven hundred twenty-five million, five hundred thirteen thousand, two hundred sixteen".