21358310400 has 1584 divisors, whose sum is σ = 99784863360. Its totient is φ = 4246732800.

The previous prime is 21358310333. The next prime is 21358310437. The reversal of 21358310400 is 401385312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 520934380 + ... + 520934420.

Almost surely, 2^21358310400 is an apocalyptic number.

21358310400 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 21358310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49892431680).

21358310400 is an abundant number, since it is smaller than the sum of its proper divisors (78426552960).

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

21358310400 is a wasteful number, since it uses less digits than its factorization.

21358310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 21358310400 its reverse (401385312), we get a palindrome (21759695712).

The spelling of 21358310400 in words is "twenty-one billion, three hundred fifty-eight million, three hundred ten thousand, four hundred".