13006863936 has 168 divisors, whose sum is σ = 41983688448. Its totient is φ = 3814272000.

The previous prime is 13006863923. The next prime is 13006863937. The reversal of 13006863936 is 63936860031.

13006863936 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 6 + 8 + 639 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13006863891 and 13006863900.

It is not an unprimeable number, because it can be changed into a prime (13006863937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163306 + ... + 229526.

Almost surely, 2^13006863936 is an apocalyptic number.

13006863936 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 13006863936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20991844224).

13006863936 is an abundant number, since it is smaller than the sum of its proper divisors (28976824512).

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

13006863936 is a wasteful number, since it uses less digits than its factorization.

13006863936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66281 (or 66268 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 13006863936 in words is "thirteen billion, six million, eight hundred sixty-three thousand, nine hundred thirty-six".