13039427520 has 448 divisors, whose sum is σ = 54001781760. Its totient is φ = 2899390464.

The previous prime is 13039427501. The next prime is 13039427551. The reversal of 13039427520 is 2572493031.

13039427520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2234847 + ... + 2240673.

Almost surely, 2^13039427520 is an apocalyptic number.

13039427520 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 13039427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27000890880).

13039427520 is an abundant number, since it is smaller than the sum of its proper divisors (40962354240).

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

13039427520 is a wasteful number, since it uses less digits than its factorization.

13039427520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5897 (or 5881 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 13039427520 in words is "thirteen billion, thirty-nine million, four hundred twenty-seven thousand, five hundred twenty".