13506336000 has 432 divisors, whose sum is σ = 50737639680. Its totient is φ = 3443404800.

The previous prime is 13506335987. The next prime is 13506336013. The reversal of 13506336000 is 63360531.

13506336000 is a `hidden beast` number, since 1 + 3 + 50 + 6 + 3 + 3 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13506335987) and next prime (13506336013).

It is a super-2 number, since 2×13506336000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6622981 + ... + 6625019.

It is an arithmetic number, because the mean of its divisors is an integer number (117448240).

Almost surely, 2^13506336000 is an apocalyptic number.

13506336000 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 13506336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25368819840).

13506336000 is an abundant number, since it is smaller than the sum of its proper divisors (37231303680).

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

13506336000 is a wasteful number, since it uses less digits than its factorization.

13506336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 13506336000 its reverse (63360531), we get a palindrome (13569696531).

The spelling of 13506336000 in words is "thirteen billion, five hundred six million, three hundred thirty-six thousand".