13591079424 has 280 divisors, whose sum is σ = 43862356692. Its totient is φ = 4180377600.

The previous prime is 13591079423. The next prime is 13591079473. The reversal of 13591079424 is 42497019531.

13591079424 is a `hidden beast` number, since 13 + 591 + 0 + 7 + 9 + 42 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13105670400 + 485409024 = 114480^2 + 22032^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13591079424.

It is not an unprimeable number, because it can be changed into a prime (13591079423) 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 27 ways as a sum of consecutive naturals, for example, 4850824 + ... + 4853624.

Almost surely, 2^13591079424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13591079424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21931178346).

13591079424 is an abundant number, since it is smaller than the sum of its proper divisors (30271277268).

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

13591079424 is an frugal number, since it uses more digits than its factorization.

13591079424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 13591079424 in words is "thirteen billion, five hundred ninety-one million, seventy-nine thousand, four hundred twenty-four".