20006163480625 has 135 divisors (see below), whose sum is σ = 29636574987591. Its totient is φ = 13461414120000.

The previous prime is 20006163480617. The next prime is 20006163480629. The reversal of 20006163480625 is 52608436160002.

The square root of 20006163480625 is 4472825.

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

It can be written as a sum of positive squares in 7 ways, for example, as 19796813308321 + 209350172304 = 4449361^2 + 457548^2 .

It is not a de Polignac number, because 20006163480625 - 2³ = 20006163480617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20006163480629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 47747406666 + ... + 47747407084.

Almost surely, 2^{20006163480625} is an apocalyptic number.

20006163480625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20006163480625 is the 4472825-th square number.

20006163480625 is the 2236413-rd centered octagonal number.

It is an amenable number.

20006163480625 is a deficient number, since it is larger than the sum of its proper divisors (9630411506966).

20006163480625 is an frugal number, since it uses more digits than its factorization.

20006163480625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 20006163480625 in words is "twenty trillion, six billion, one hundred sixty-three million, four hundred eighty thousand, six hundred twenty-five".