21204346320 has 320 divisors, whose sum is σ = 74280960000. Its totient is φ = 5559114240.

The previous prime is 21204346307. The next prime is 21204346349. The reversal of 21204346320 is 2364340212.

21204346320 is a `hidden beast` number, since 2 + 1 + 20 + 4 + 3 + 4 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42493431 + ... + 42493929.

It is an arithmetic number, because the mean of its divisors is an integer number (232128000).

Almost surely, 2^21204346320 is an apocalyptic number.

21204346320 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 21204346320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37140480000).

21204346320 is an abundant number, since it is smaller than the sum of its proper divisors (53076613680).

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

21204346320 is a wasteful number, since it uses less digits than its factorization.

21204346320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 21204346320 its reverse (2364340212), we get a palindrome (23568686532).

The spelling of 21204346320 in words is "twenty-one billion, two hundred four million, three hundred forty-six thousand, three hundred twenty".