13509645360 has 320 divisors, whose sum is σ = 44547148800. Its totient is φ = 3381661696.

The previous prime is 13509645349. The next prime is 13509645367. The reversal of 13509645360 is 6354690531.

It is a Cunningham number, because it is equal to 116231²-1.

It is not an unprimeable number, because it can be changed into a prime (13509645367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68576782 + ... + 68576978.

It is an arithmetic number, because the mean of its divisors is an integer number (139209840).

Almost surely, 2^13509645360 is an apocalyptic number.

13509645360 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 13509645360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22273574400).

13509645360 is an abundant number, since it is smaller than the sum of its proper divisors (31037503440).

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

13509645360 is a wasteful number, since it uses less digits than its factorization.

13509645360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

The spelling of 13509645360 in words is "thirteen billion, five hundred nine million, six hundred forty-five thousand, three hundred sixty".