13563416940 has 96 divisors (see below), whose sum is σ = 39656203776. Its totient is φ = 3457259520.

The previous prime is 13563416879. The next prime is 13563416959. The reversal of 13563416940 is 4961436531.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13563416892 and 13563416901.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2869419 + ... + 2874141.

It is an arithmetic number, because the mean of its divisors is an integer number (413085456).

Almost surely, 2^13563416940 is an apocalyptic number.

13563416940 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 13563416940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19828101888).

13563416940 is an abundant number, since it is smaller than the sum of its proper divisors (26092786836).

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

13563416940 is a wasteful number, since it uses less digits than its factorization.

13563416940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6839 (or 6837 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 13563416940 in words is "thirteen billion, five hundred sixty-three million, four hundred sixteen thousand, nine hundred forty".