868548096000 has 1456 divisors, whose sum is σ = 3519510190560. Its totient is φ = 212602060800.

The previous prime is 868548095993. The next prime is 868548096037. The reversal of 868548096000 is 690845868.

It is a happy number.

868548096000 is a `hidden beast` number, since 8 + 6 + 8 + 548 + 0 + 96 + 0 + 0 + 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 (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4852223911 + ... + 4852224089.

It is an arithmetic number, because the mean of its divisors is an integer number (2417246010).

Almost surely, 2^868548096000 is an apocalyptic number.

868548096000 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 868548096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759755095280).

868548096000 is an abundant number, since it is smaller than the sum of its proper divisors (2650962094560).

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

868548096000 is an equidigital number, since it uses as much as digits as its factorization.

868548096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 868548096000 in words is "eight hundred sixty-eight billion, five hundred forty-eight million, ninety-six thousand".