13563506340 has 144 divisors (see below), whose sum is σ = 42172498368. Its totient is φ = 3526693632.

The previous prime is 13563506329. The next prime is 13563506351. The reversal of 13563506340 is 4360536531.

13563506340 is a `hidden beast` number, since 1 + 3 + 563 + 50 + 6 + 3 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (13563506329) and next prime (13563506351).

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 = 13563506295 and 13563506304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5981887 + ... + 5984153.

It is an arithmetic number, because the mean of its divisors is an integer number (292864572).

Almost surely, 2^13563506340 is an apocalyptic number.

13563506340 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 13563506340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21086249184).

13563506340 is an abundant number, since it is smaller than the sum of its proper divisors (28608992028).

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

13563506340 is a wasteful number, since it uses less digits than its factorization.

13563506340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 13563506340 in words is "thirteen billion, five hundred sixty-three million, five hundred six thousand, three hundred forty".