21239633708384 has 576 divisors, whose sum is σ = 57182564597760. Its totient is φ = 7667962122240.

The previous prime is 21239633708347. The next prime is 21239633708401. The reversal of 21239633708384 is 48380733693212.

It is a super-2 number, since 2×21239633708384² (a number of 27 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 95 ways as a sum of consecutive naturals, for example, 2677373282 + ... + 2677381214.

It is an arithmetic number, because the mean of its divisors is an integer number (99275285760).

Almost surely, 2^{21239633708384} 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 21239633708384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28591282298880).

21239633708384 is an abundant number, since it is smaller than the sum of its proper divisors (35942930889376).

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

21239633708384 is a wasteful number, since it uses less digits than its factorization.

21239633708384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243 (or 8228 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 59.

The spelling of 21239633708384 in words is "twenty-one trillion, two hundred thirty-nine billion, six hundred thirty-three million, seven hundred eight thousand, three hundred eighty-four".