21304406588864 has 168 divisors, whose sum is σ = 50520767883840. Its totient is φ = 8881315559424.

The previous prime is 21304406588791. The next prime is 21304406588921. The reversal of 21304406588864 is 46888560440312.

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, 473272022 + ... + 473317034.

Almost surely, 2^{21304406588864} 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 21304406588864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25260383941920).

21304406588864 is an abundant number, since it is smaller than the sum of its proper divisors (29216361294976).

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

21304406588864 is a wasteful number, since it uses less digits than its factorization.

21304406588864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49155 (or 49138 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 59.

The spelling of 21304406588864 in words is "twenty-one trillion, three hundred four billion, four hundred six million, five hundred eighty-eight thousand, eight hundred sixty-four".