13499785728 has 320 divisors, whose sum is σ = 46953244800. Its totient is φ = 3775610880.

The previous prime is 13499785727. The next prime is 13499785781. The reversal of 13499785728 is 82758799431.

13499785728 is a `hidden beast` number, since 1 + 3 + 499 + 78 + 5 + 72 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (13499785723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1973418 + ... + 1980246.

It is an arithmetic number, because the mean of its divisors is an integer number (146728890).

Almost surely, 2^13499785728 is an apocalyptic number.

13499785728 is a gapful number since it is divisible by the number (18) 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 13499785728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23476622400).

13499785728 is an abundant number, since it is smaller than the sum of its proper divisors (33453459072).

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

13499785728 is a wasteful number, since it uses less digits than its factorization.

13499785728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6880 (or 6858 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 13499785728 in words is "thirteen billion, four hundred ninety-nine million, seven hundred eighty-five thousand, seven hundred twenty-eight".