21009213283584 has 288 divisors, whose sum is σ = 60115197590784. Its totient is φ = 6496660684800.

The previous prime is 21009213283577. The next prime is 21009213283631. The reversal of 21009213283584 is 48538231290012.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204515434 + ... + 204618134.

It is an arithmetic number, because the mean of its divisors is an integer number (208733324968).

Almost surely, 2^{21009213283584} is an apocalyptic number.

21009213283584 is a gapful number since it is divisible by the number (24) 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 21009213283584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30057598795392).

21009213283584 is an abundant number, since it is smaller than the sum of its proper divisors (39105984307200).

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

21009213283584 is a wasteful number, since it uses less digits than its factorization.

21009213283584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103093 (or 103079 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 21009213283584 in words is "twenty-one trillion, nine billion, two hundred thirteen million, two hundred eighty-three thousand, five hundred eighty-four".