21284007630336 has 480 divisors, whose sum is σ = 67342515267456. Its totient is φ = 6417911808000.

The previous prime is 21284007630311. The next prime is 21284007630409. The reversal of 21284007630336 is 63303670048212.

21284007630336 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 4 + 0 + 0 + 7 + 630 + 3 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21284007630291 and 21284007630300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12767850175 + ... + 12767851841.

Almost surely, 2^{21284007630336} 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 21284007630336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33671257633728).

21284007630336 is an abundant number, since it is smaller than the sum of its proper divisors (46058507637120).

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

21284007630336 is a wasteful number, since it uses less digits than its factorization.

21284007630336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

Adding to 21284007630336 its reverse (63303670048212), we get a palindrome (84587677678548).

The spelling of 21284007630336 in words is "twenty-one trillion, two hundred eighty-four billion, seven million, six hundred thirty thousand, three hundred thirty-six".