13563972240 has 720 divisors, whose sum is σ = 56139031872. Its totient is φ = 2684731392.

The previous prime is 13563972217. The next prime is 13563972241. The reversal of 13563972240 is 4227936531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 13563972192 and 13563972201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13563972241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44182167 + ... + 44182473.

Almost surely, 2^13563972240 is an apocalyptic number.

13563972240 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 13563972240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28069515936).

13563972240 is an abundant number, since it is smaller than the sum of its proper divisors (42575059632).

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

13563972240 is a wasteful number, since it uses less digits than its factorization.

13563972240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 13563972240 in words is "thirteen billion, five hundred sixty-three million, nine hundred seventy-two thousand, two hundred forty".