21804761708352 has 392 divisors, whose sum is σ = 74164012151232. Its totient is φ = 6228016128000.

The previous prime is 21804761708351. The next prime is 21804761708399. The reversal of 21804761708352 is 25380716740812.

21804761708352 is a `hidden beast` number, since 2 + 1 + 80 + 47 + 6 + 170 + 8 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21804761708351) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1323015952 + ... + 1323032432.

Almost surely, 2^{21804761708352} 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 21804761708352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37082006075616).

21804761708352 is an abundant number, since it is smaller than the sum of its proper divisors (52359250442880).

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

21804761708352 is an equidigital number, since it uses as much as digits as its factorization.

21804761708352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20569 (or 20544 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 21804761708352 in words is "twenty-one trillion, eight hundred four billion, seven hundred sixty-one million, seven hundred eight thousand, three hundred fifty-two".