868244428800 has 1728 divisors, whose sum is σ = 3869852313600. Its totient is φ = 181547827200.

The previous prime is 868244428789. The next prime is 868244428801. The reversal of 868244428800 is 8824442868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868244428801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1899878172 + ... + 1899878628.

Almost surely, 2^868244428800 is an apocalyptic number.

868244428800 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 868244428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934926156800).

868244428800 is an abundant number, since it is smaller than the sum of its proper divisors (3001607884800).

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

868244428800 is a wasteful number, since it uses less digits than its factorization.

868244428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 54.

The spelling of 868244428800 in words is "eight hundred sixty-eight billion, two hundred forty-four million, four hundred twenty-eight thousand, eight hundred".