21300335352 has 192 divisors, whose sum is σ = 60517416960. Its totient is φ = 6760454400.

The previous prime is 21300335341. The next prime is 21300335369. The reversal of 21300335352 is 25353300312.

21300335352 is a `hidden beast` number, since 2 + 1 + 300 + 3 + 3 + 5 + 352 = 666.

It is a super-2 number, since 2×21300335352² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 46204402 + ... + 46204862.

It is an arithmetic number, because the mean of its divisors is an integer number (315194880).

Almost surely, 2^21300335352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21300335352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30258708480).

21300335352 is an abundant number, since it is smaller than the sum of its proper divisors (39217081608).

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

21300335352 is a wasteful number, since it uses less digits than its factorization.

21300335352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

Adding to 21300335352 its reverse (25353300312), we get a palindrome (46653635664).

The spelling of 21300335352 in words is "twenty-one billion, three hundred million, three hundred thirty-five thousand, three hundred fifty-two".