20007380107521 has 81 divisors (see below), whose sum is σ = 30856454662761. Its totient is φ = 12490510998528.

The previous prime is 20007380107501. The next prime is 20007380107531. The reversal of 20007380107521 is 12570108370002.

The square root of 20007380107521 is 4472961.

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

20007380107521 is a `hidden beast` number, since 20 + 0 + 0 + 7 + 3 + 8 + 0 + 107 + 521 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2765485850625 + 17241894256896 = 1662975^2 + 4152336^2 .

It is not a de Polignac number, because 20007380107521 - 2¹⁵ = 20007380074753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20007380107501) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24731000965 + ... + 24731001773.

Almost surely, 2^{20007380107521} is an apocalyptic number.

20007380107521 is the 4472961-st square number.

20007380107521 is the 2236481-st centered octagonal number.

It is an amenable number.

20007380107521 is a deficient number, since it is larger than the sum of its proper divisors (10849074555240).

20007380107521 is an frugal number, since it uses more digits than its factorization.

20007380107521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

Multiplying 20007380107521 by its sum of digits (36), we get a square (720265683870756 = 26837766²).

Adding to 20007380107521 its reverse (12570108370002), we get a palindrome (32577488477523).

The spelling of 20007380107521 in words is "twenty trillion, seven billion, three hundred eighty million, one hundred seven thousand, five hundred twenty-one".