21846821068800 has 3024 divisors, whose sum is σ = 102423032318880. Its totient is φ = 4403578798080.

The previous prime is 21846821068783. The next prime is 21846821068811. The reversal of 21846821068800 is 886012864812.

21846821068800 is a `hidden beast` number, since 21 + 8 + 468 + 21 + 0 + 68 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 27004722796 + ... + 27004723604.

It is an arithmetic number, because the mean of its divisors is an integer number (33870050370).

Almost surely, 2^{21846821068800} is an apocalyptic number.

21846821068800 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 21846821068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51211516159440).

21846821068800 is an abundant number, since it is smaller than the sum of its proper divisors (80576211250080).

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

21846821068800 is a wasteful number, since it uses less digits than its factorization.

21846821068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 21846821068800 in words is "twenty-one trillion, eight hundred forty-six billion, eight hundred twenty-one million, sixty-eight thousand, eight hundred".