21247443925200 has 480 divisors, whose sum is σ = 77569490592000. Its totient is φ = 5521748244480.

The previous prime is 21247443925189. The next prime is 21247443925207. The reversal of 21247443925200 is 252934474212.

21247443925200 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 7 + 4 + 439 + 2 + 5 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21247443925207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85163037 + ... + 85412163.

It is an arithmetic number, because the mean of its divisors is an integer number (161603105400).

Almost surely, 2^{21247443925200} is an apocalyptic number.

21247443925200 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 21247443925200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38784745296000).

21247443925200 is an abundant number, since it is smaller than the sum of its proper divisors (56322046666800).

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

21247443925200 is a wasteful number, since it uses less digits than its factorization.

21247443925200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249356 (or 249339 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 21247443925200 in words is "twenty-one trillion, two hundred forty-seven billion, four hundred forty-three million, nine hundred twenty-five thousand, two hundred".