868200212880 has 1280 divisors, whose sum is σ = 4145014702080. Its totient is φ = 161143603200.

The previous prime is 868200212773. The next prime is 868200212899. The reversal of 868200212880 is 88212002868.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 255 ways as a sum of consecutive naturals, for example, 67020484 + ... + 67033436.

It is an arithmetic number, because the mean of its divisors is an integer number (3238292736).

Almost surely, 2^868200212880 is an apocalyptic number.

868200212880 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 868200212880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072507351040).

868200212880 is an abundant number, since it is smaller than the sum of its proper divisors (3276814489200).

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

868200212880 is a wasteful number, since it uses less digits than its factorization.

868200212880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13037 (or 13025 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 868200212880 in words is "eight hundred sixty-eight billion, two hundred million, two hundred twelve thousand, eight hundred eighty".