21214205304600 has 1152 divisors, whose sum is σ = 84254592718080. Its totient is φ = 4366172160000.

The previous prime is 21214205304569. The next prime is 21214205304619. The reversal of 21214205304600 is 640350241212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17663784000 + ... + 17663785200.

It is an arithmetic number, because the mean of its divisors is an integer number (73137667290).

Almost surely, 2^{21214205304600} is an apocalyptic number.

21214205304600 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 21214205304600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42127296359040).

21214205304600 is an abundant number, since it is smaller than the sum of its proper divisors (63040387413480).

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

21214205304600 is a wasteful number, since it uses less digits than its factorization.

21214205304600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 21214205304600 its reverse (640350241212), we get a palindrome (21854555545812).

The spelling of 21214205304600 in words is "twenty-one trillion, two hundred fourteen billion, two hundred five million, three hundred four thousand, six hundred".