13563722833920 has 2688 divisors, whose sum is σ = 59252461632000. Its totient is φ = 2971523874816.

The previous prime is 13563722833897. The next prime is 13563722833937. The reversal of 13563722833920 is 2933822736531.

13563722833920 is a `hidden beast` number, since 1 + 3 + 5 + 63 + 7 + 228 + 339 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 99005276092 + ... + 99005276228.

It is an arithmetic number, because the mean of its divisors is an integer number (22043326500).

Almost surely, 2^{13563722833920} is an apocalyptic number.

13563722833920 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 13563722833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29626230816000).

13563722833920 is an abundant number, since it is smaller than the sum of its proper divisors (45688738798080).

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

13563722833920 is an frugal number, since it uses more digits than its factorization.

13563722833920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 13563722833920 in words is "thirteen trillion, five hundred sixty-three billion, seven hundred twenty-two million, eight hundred thirty-three thousand, nine hundred twenty".