13004439552 has 264 divisors, whose sum is σ = 41221609884. Its totient is φ = 3925868544.

The previous prime is 13004439551. The next prime is 13004439577. The reversal of 13004439552 is 25593440031.

13004439552 is a `hidden beast` number, since 1 + 30 + 0 + 44 + 39 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12919504896 + 84934656 = 113664^2 + 9216^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13004439551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245366758 + ... + 245366810.

Almost surely, 2^13004439552 is an apocalyptic number.

13004439552 is a gapful number since it is divisible by the number (12) 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 13004439552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20610804942).

13004439552 is an abundant number, since it is smaller than the sum of its proper divisors (28217170332).

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

13004439552 is an frugal number, since it uses more digits than its factorization.

13004439552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 13004439552 its reverse (25593440031), we get a palindrome (38597879583).

The spelling of 13004439552 in words is "thirteen billion, four million, four hundred thirty-nine thousand, five hundred fifty-two".