20205528443136 has 243 divisors, whose sum is σ = 59898267931593. Its totient is φ = 6550555207680.

The previous prime is 20205528443123. The next prime is 20205528443137. The reversal of 20205528443136 is 63134482550202.

The square root of 20205528443136 is 4495056.

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

20205528443136 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 55 + 28 + 443 + 136 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18080184326400 + 2125344116736 = 4252080^2 + 1457856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20205528443091 and 20205528443100.

It is not an unprimeable number, because it can be changed into a prime (20205528443137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7983218191 + ... + 7983220721.

Almost surely, 2^{20205528443136} is an apocalyptic number.

20205528443136 is the 4495056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20205528443136

20205528443136 is an abundant number, since it is smaller than the sum of its proper divisors (39692739488457).

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

20205528443136 is an frugal number, since it uses more digits than its factorization.

20205528443136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5158 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 20205528443136 in words is "twenty trillion, two hundred five billion, five hundred twenty-eight million, four hundred forty-three thousand, one hundred thirty-six".