13365394560 has 1152 divisors, whose sum is σ = 59401405440. Its totient is φ = 2707292160.

The previous prime is 13365394531. The next prime is 13365394571. The reversal of 13365394560 is 6549356331.

13365394560 is a `hidden beast` number, since 1 + 3 + 36 + 53 + 9 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 361226862 + ... + 361226898.

It is an arithmetic number, because the mean of its divisors is an integer number (51563720).

Almost surely, 2^13365394560 is an apocalyptic number.

13365394560 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 13365394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29700702720).

13365394560 is an abundant number, since it is smaller than the sum of its proper divisors (46036010880).

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

13365394560 is a wasteful number, since it uses less digits than its factorization.

13365394560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 13365394560 in words is "thirteen billion, three hundred sixty-five million, three hundred ninety-four thousand, five hundred sixty".