13705728820 has 48 divisors (see below), whose sum is σ = 33038732160. Its totient is φ = 4678395264.

The previous prime is 13705728809. The next prime is 13705728833. The reversal of 13705728820 is 2882750731.

13705728820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 183855 + ... + 247414.

It is an arithmetic number, because the mean of its divisors is an integer number (688306920).

Almost surely, 2^13705728820 is an apocalyptic number.

13705728820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13705728820 is an abundant number, since it is smaller than the sum of its proper divisors (19333003340).

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

13705728820 is a wasteful number, since it uses less digits than its factorization.

13705728820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431512 (or 431510 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 43.

The spelling of 13705728820 in words is "thirteen billion, seven hundred five million, seven hundred twenty-eight thousand, eight hundred twenty".