13820528768 has 24 divisors (see below), whose sum is σ = 27535734615. Its totient is φ = 6909599360.

The previous prime is 13820528767. The next prime is 13820528789. The reversal of 13820528768 is 86782502831.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 6910264384 + 6910264384 = 83128^2 + 83128^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=83128.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13820528767) 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 2 ways as a sum of consecutive naturals, for example, 1324853 + ... + 1335243.

Almost surely, 2^13820528768 is an apocalyptic number.

It is an amenable number.

13820528768 is a deficient number, since it is larger than the sum of its proper divisors (13715205847).

13820528768 is an frugal number, since it uses more digits than its factorization.

13820528768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20796 (or 10393 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 50.

Multiplying 13820528768 by its sum of digits (50), we get a square (691026438400 = 831280²).

The spelling of 13820528768 in words is "thirteen billion, eight hundred twenty million, five hundred twenty-eight thousand, seven hundred sixty-eight".