13580348544 has 448 divisors, whose sum is σ = 49125191040. Its totient is φ = 3648872448.

The previous prime is 13580348543. The next prime is 13580348569. The reversal of 13580348544 is 44584308531.

13580348544 is a `hidden beast` number, since 13 + 58 + 0 + 3 + 48 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 13580348544.

It is not an unprimeable number, because it can be changed into a prime (13580348543) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11103517 + ... + 11104739.

Almost surely, 2^13580348544 is an apocalyptic number.

13580348544 is a gapful number since it is divisible by the number (14) 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 13580348544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24562595520).

13580348544 is an abundant number, since it is smaller than the sum of its proper divisors (35544842496).

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

13580348544 is an equidigital number, since it uses as much as digits as its factorization.

13580348544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 13580348544 in words is "thirteen billion, five hundred eighty million, three hundred forty-eight thousand, five hundred forty-four".