20744162539776 has 567 divisors, whose sum is σ = 67308466296897. Its totient is φ = 6374948935680.

The previous prime is 20744162539757. The next prime is 20744162539781. The reversal of 20744162539776 is 67793526144702.

The square root of 20744162539776 is 4554576.

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

20744162539776 is a `hidden beast` number, since 20 + 7 + 4 + 4 + 1 + 6 + 2 + 539 + 7 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3068663097600 + 17675499442176 = 1751760^2 + 4204224^2 .

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 62 ways as a sum of consecutive naturals, for example, 25578498411 + ... + 25578499221.

Almost surely, 2^{20744162539776} is an apocalyptic number.

20744162539776 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20744162539776 is the 4554576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20744162539776

20744162539776 is an abundant number, since it is smaller than the sum of its proper divisors (46564303757121).

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

20744162539776 is an frugal number, since it uses more digits than its factorization.

20744162539776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 20744162539776 in words is "twenty trillion, seven hundred forty-four billion, one hundred sixty-two million, five hundred thirty-nine thousand, seven hundred seventy-six".