13563713280 has 288 divisors, whose sum is σ = 46959542784. Its totient is φ = 3316727808.

The previous prime is 13563713231. The next prime is 13563713287. The reversal of 13563713280 is 8231736531.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13563713287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8335827 + ... + 8337453.

It is an arithmetic number, because the mean of its divisors is an integer number (163053968).

Almost surely, 2^13563713280 is an apocalyptic number.

13563713280 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 13563713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23479771392).

13563713280 is an abundant number, since it is smaller than the sum of its proper divisors (33395829504).

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

13563713280 is a wasteful number, since it uses less digits than its factorization.

13563713280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 13563713280 in words is "thirteen billion, five hundred sixty-three million, seven hundred thirteen thousand, two hundred eighty".