13577981824 has 32 divisors (see below), whose sum is σ = 29508969240. Its totient is φ = 6171809280.

The previous prime is 13577981819. The next prime is 13577981827. The reversal of 13577981824 is 42818977531.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13577981827) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4820319 + ... + 4823134.

Almost surely, 2^13577981824 is an apocalyptic number.

It is an amenable number.

13577981824 is an abundant number, since it is smaller than the sum of its proper divisors (15930987416).

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

13577981824 is an equidigital number, since it uses as much as digits as its factorization.

13577981824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9643478 (or 9643466 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 55.

The spelling of 13577981824 in words is "thirteen billion, five hundred seventy-seven million, nine hundred eighty-one thousand, eight hundred twenty-four".