20539005872004 has 27 divisors (see below), whose sum is σ = 51918111356293. Its totient is φ = 6846326226672.

The previous prime is 20539005871927. The next prime is 20539005872009. The reversal of 20539005872004 is 40027850093502.

The square root of 20539005872004 is 4531998.

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

20539005872004 is a `hidden beast` number, since 2 + 0 + 5 + 390 + 0 + 58 + 7 + 200 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12234572100 + 20526771299904 = 110610^2 + 4530648^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20539005872009) 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 8 ways as a sum of consecutive naturals, for example, 26814322 + ... + 27569654.

Almost surely, 2^{20539005872004} is an apocalyptic number.

20539005872004 is the 4531998-th square number.

It is an amenable number.

20539005872004 is an abundant number, since it is smaller than the sum of its proper divisors (31379105484289).

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

20539005872004 is an frugal number, since it uses more digits than its factorization.

20539005872004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510676 (or 755338 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 20539005872004 in words is "twenty trillion, five hundred thirty-nine billion, five million, eight hundred seventy-two thousand, four".