21013613858304 has 200 divisors, whose sum is σ = 62728693942200. Its totient is φ = 7003578691584.

The previous prime is 21013613858287. The next prime is 21013613858311. The reversal of 21013613858304 is 40385831631012.

It is a happy number.

21013613858304 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 3 + 61 + 3 + 8 + 583 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21013613858304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 343896747 + ... + 343957845.

It is an arithmetic number, because the mean of its divisors is an integer number (313643469711).

Almost surely, 2^{21013613858304} is an apocalyptic number.

21013613858304 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 21013613858304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31364346971100).

21013613858304 is an abundant number, since it is smaller than the sum of its proper divisors (41715080083896).

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

21013613858304 is an frugal number, since it uses more digits than its factorization.

21013613858304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69422 (or 69397 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 21013613858304 in words is "twenty-one trillion, thirteen billion, six hundred thirteen million, eight hundred fifty-eight thousand, three hundred four".