13005056736 has 216 divisors, whose sum is σ = 43894796400. Its totient is φ = 3715310592.

The previous prime is 13005056719. The next prime is 13005056741. The reversal of 13005056736 is 63765050031.

It is a happy number.

13005056736 is a `hidden beast` number, since 13 + 0 + 0 + 50 + 567 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13005056736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1465240 + ... + 1474088.

It is an arithmetic number, because the mean of its divisors is an integer number (203216650).

Almost surely, 2^13005056736 is an apocalyptic number.

13005056736 is a gapful number since it is divisible by the number (16) 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 13005056736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21947398200).

13005056736 is an abundant number, since it is smaller than the sum of its proper divisors (30889739664).

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

13005056736 is an frugal number, since it uses more digits than its factorization.

13005056736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8890 (or 8861 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 13005056736 in words is "thirteen billion, five million, fifty-six thousand, seven hundred thirty-six".