21304233688320 has 2880 divisors, whose sum is σ = 93544030863360. Its totient is φ = 4562583552000.

The previous prime is 21304233688319. The next prime is 21304233688343. The reversal of 21304233688320 is 2388633240312.

21304233688320 is a `hidden beast` number, since 2 + 1 + 30 + 4 + 233 + 68 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 55624630849 + ... + 55624631231.

It is an arithmetic number, because the mean of its divisors is an integer number (32480566272).

Almost surely, 2^{21304233688320} is an apocalyptic number.

21304233688320 is a gapful number since it is divisible by the number (20) 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 21304233688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46772015431680).

21304233688320 is an abundant number, since it is smaller than the sum of its proper divisors (72239797175040).

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

21304233688320 is a wasteful number, since it uses less digits than its factorization.

21304233688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 21304233688320 in words is "twenty-one trillion, three hundred four billion, two hundred thirty-three million, six hundred eighty-eight thousand, three hundred twenty".