21327424600 has 96 divisors (see below), whose sum is σ = 50302584000. Its totient is φ = 8408125440.

The previous prime is 21327424583. The next prime is 21327424631. The reversal of 21327424600 is 642472312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14677474 + ... + 14678926.

It is an arithmetic number, because the mean of its divisors is an integer number (523985250).

Almost surely, 2^21327424600 is an apocalyptic number.

21327424600 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 21327424600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25151292000).

21327424600 is an abundant number, since it is smaller than the sum of its proper divisors (28975159400).

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

21327424600 is a wasteful number, since it uses less digits than its factorization.

21327424600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

Adding to 21327424600 its reverse (642472312), we get a palindrome (21969896912).

The spelling of 21327424600 in words is "twenty-one billion, three hundred twenty-seven million, four hundred twenty-four thousand, six hundred".