20647572481600 has 189 divisors, whose sum is σ = 51931395739363. Its totient is φ = 8079960616960.

The previous prime is 20647572481577. The next prime is 20647572481607. The reversal of 20647572481600 is 618427574602.

The square root of 20647572481600 is 4543960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4412990906944 + 16234581574656 = 2100712^2 + 4029216^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20647572481607) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 8542643592 + ... + 8542646008.

Almost surely, 2^{20647572481600} is an apocalyptic number.

20647572481600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20647572481600 is the 4543960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20647572481600

20647572481600 is an abundant number, since it is smaller than the sum of its proper divisors (31283823257763).

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

20647572481600 is an frugal number, since it uses more digits than its factorization.

20647572481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4950 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 52.

The spelling of 20647572481600 in words is "twenty trillion, six hundred forty-seven billion, five hundred seventy-two million, four hundred eighty-one thousand, six hundred".