13578541728 has 48 divisors (see below), whose sum is σ = 35650401696. Its totient is φ = 4525326080.

The previous prime is 13578541723. The next prime is 13578541759. The reversal of 13578541728 is 82714587531.

It is a Cunningham number, because it is equal to 116527²-1.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (13578541723) 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 7 ways as a sum of consecutive naturals, for example, 689458 + ... + 708878.

It is an arithmetic number, because the mean of its divisors is an integer number (742716702).

Almost surely, 2^13578541728 is an apocalyptic number.

It is an amenable number.

13578541728 is an abundant number, since it is smaller than the sum of its proper divisors (22071859968).

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

13578541728 is a wasteful number, since it uses less digits than its factorization.

13578541728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26717 (or 26709 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 51.

The spelling of 13578541728 in words is "thirteen billion, five hundred seventy-eight million, five hundred forty-one thousand, seven hundred twenty-eight".