21947484729600 has 1296 divisors, whose sum is σ = 84432661797120. Its totient is φ = 5636343398400.

The previous prime is 21947484729581. The next prime is 21947484729623. The reversal of 21947484729600 is 692748474912.

21947484729600 is a `hidden beast` number, since 2 + 1 + 9 + 4 + 74 + 8 + 472 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5037290622 + ... + 5037294978.

Almost surely, 2^{21947484729600} is an apocalyptic number.

21947484729600 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 21947484729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42216330898560).

21947484729600 is an abundant number, since it is smaller than the sum of its proper divisors (62485177067520).

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

21947484729600 is an equidigital number, since it uses as much as digits as its factorization.

21947484729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518 (or 4487 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 21947484729600 in words is "twenty-one trillion, nine hundred forty-seven billion, four hundred eighty-four million, seven hundred twenty-nine thousand, six hundred".