13563116460 has 72 divisors (see below), whose sum is σ = 43561548576. Its totient is φ = 3404075520.

The previous prime is 13563116447. The next prime is 13563116461. The reversal of 13563116460 is 6461136531.

13563116460 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 3 + 1 + 1 + 646 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13563116461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2213136 + ... + 2219255.

It is an arithmetic number, because the mean of its divisors is an integer number (605021508).

Almost surely, 2^13563116460 is an apocalyptic number.

13563116460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13563116460 is an abundant number, since it is smaller than the sum of its proper divisors (29998432116).

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

13563116460 is a wasteful number, since it uses less digits than its factorization.

13563116460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4432423 (or 4432418 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13563116460 in words is "thirteen billion, five hundred sixty-three million, one hundred sixteen thousand, four hundred sixty".