13560474816 has 448 divisors, whose sum is σ = 47109888000. Its totient is φ = 3823110144.

The previous prime is 13560474787. The next prime is 13560474821. The reversal of 13560474816 is 61847406531.

13560474816 is a `hidden beast` number, since 1 + 3 + 560 + 4 + 7 + 4 + 81 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81200365 + ... + 81200531.

It is an arithmetic number, because the mean of its divisors is an integer number (105156000).

Almost surely, 2^13560474816 is an apocalyptic number.

13560474816 is a gapful number since it is divisible by the number (16) 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 13560474816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23554944000).

13560474816 is an abundant number, since it is smaller than the sum of its proper divisors (33549413184).

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

13560474816 is a wasteful number, since it uses less digits than its factorization.

13560474816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13560474816 in words is "thirteen billion, five hundred sixty million, four hundred seventy-four thousand, eight hundred sixteen".