21068827852800 has 1344 divisors, whose sum is σ = 89472758376960. Its totient is φ = 4252017623040.

The previous prime is 21068827852799. The next prime is 21068827852931. The reversal of 21068827852800 is 825872886012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 916035993589 + ... + 916035993611.

It is an arithmetic number, because the mean of its divisors is an integer number (66571992840).

Almost surely, 2^{21068827852800} is an apocalyptic number.

21068827852800 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 21068827852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44736379188480).

21068827852800 is an abundant number, since it is smaller than the sum of its proper divisors (68403930524160).

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

21068827852800 is an frugal number, since it uses more digits than its factorization.

21068827852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 57.

The spelling of 21068827852800 in words is "twenty-one trillion, sixty-eight billion, eight hundred twenty-seven million, eight hundred fifty-two thousand, eight hundred".