21453213600000 has 2592 divisors, whose sum is σ = 96250909547520. Its totient is φ = 4474552320000.

The previous prime is 21453213599963. The next prime is 21453213600019. The reversal of 21453213600000 is 631235412.

21453213600000 is a `hidden beast` number, since 2 + 1 + 4 + 53 + 2 + 1 + 3 + 600 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 89762399881 + ... + 89762400119.

It is an arithmetic number, because the mean of its divisors is an integer number (37133838560).

Almost surely, 2^{21453213600000} is an apocalyptic number.

21453213600000 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 21453213600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48125454773760).

21453213600000 is an abundant number, since it is smaller than the sum of its proper divisors (74797695947520).

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

21453213600000 is a wasteful number, since it uses less digits than its factorization.

21453213600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 21453213600000 its reverse (631235412), we get a palindrome (21453844835412).

The spelling of 21453213600000 in words is "twenty-one trillion, four hundred fifty-three billion, two hundred thirteen million, six hundred thousand".