21868800000 has 576 divisors, whose sum is σ = 78311862720. Its totient is φ = 5406720000.

The previous prime is 21868799969. The next prime is 21868800007. The reversal of 21868800000 is 886812.

It is not an unprimeable number, because it can be changed into a prime (21868800007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326399967 + ... + 326400033.

It is an arithmetic number, because the mean of its divisors is an integer number (135958095).

Almost surely, 2^21868800000 is an apocalyptic number.

21868800000 is a gapful number since it is divisible by the number (20) 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 21868800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39155931360).

21868800000 is an abundant number, since it is smaller than the sum of its proper divisors (56443062720).

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

21868800000 is an frugal number, since it uses more digits than its factorization.

21868800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 21868800000 in words is "twenty-one billion, eight hundred sixty-eight million, eight hundred thousand".