13729918020 has 192 divisors, whose sum is σ = 47475326976. Its totient is φ = 2887073280.

The previous prime is 13729917979. The next prime is 13729918039. The reversal of 13729918020 is 2081992731.

13729918020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 1672125 + ... + 1680315.

It is an arithmetic number, because the mean of its divisors is an integer number (247267328).

Almost surely, 2^13729918020 is an apocalyptic number.

13729918020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13729918020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23737663488).

13729918020 is an abundant number, since it is smaller than the sum of its proper divisors (33745408956).

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

13729918020 is a wasteful number, since it uses less digits than its factorization.

13729918020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8530 (or 8528 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 13729918020 in words is "thirteen billion, seven hundred twenty-nine million, nine hundred eighteen thousand, twenty".