13580605440 has 288 divisors, whose sum is σ = 47566537200. Its totient is φ = 3583180800.

The previous prime is 13580605421. The next prime is 13580605453. The reversal of 13580605440 is 4450608531.

It is a happy number.

13580605440 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 0 + 605 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13580605395 and 13580605404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9307431 + ... + 9308889.

Almost surely, 2^13580605440 is an apocalyptic number.

13580605440 is a gapful number since it is divisible by the number (10) 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 13580605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23783268600).

13580605440 is an abundant number, since it is smaller than the sum of its proper divisors (33985931760).

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

13580605440 is a wasteful number, since it uses less digits than its factorization.

13580605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 13580605440 in words is "thirteen billion, five hundred eighty million, six hundred five thousand, four hundred forty".