13223813760 has 320 divisors, whose sum is σ = 48125654280. Its totient is φ = 3459096576.

The previous prime is 13223813737. The next prime is 13223813773. The reversal of 13223813760 is 6731832231.

It can be written as a sum of positive squares in 4 ways, for example, as 12599613504 + 624200256 = 112248^2 + 24984^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2745114 + ... + 2749926.

Almost surely, 2^13223813760 is an apocalyptic number.

13223813760 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 13223813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24062827140).

13223813760 is an abundant number, since it is smaller than the sum of its proper divisors (34901840520).

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

13223813760 is an equidigital number, since it uses as much as digits as its factorization.

13223813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4897 (or 4876 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13223813760 in words is "thirteen billion, two hundred twenty-three million, eight hundred thirteen thousand, seven hundred sixty".