13506619896 has 576 divisors, whose sum is σ = 48827750400. Its totient is φ = 3331238400.

The previous prime is 13506619849. The next prime is 13506619909. The reversal of 13506619896 is 69891660531.

13506619896 is a `hidden beast` number, since 13 + 5 + 0 + 6 + 619 + 8 + 9 + 6 = 666.

13506619896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 143 ways as a sum of consecutive naturals, for example, 123913890 + ... + 123913998.

It is an arithmetic number, because the mean of its divisors is an integer number (84770400).

Almost surely, 2^13506619896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13506619896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24413875200).

13506619896 is an abundant number, since it is smaller than the sum of its proper divisors (35321130504).

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

13506619896 is a wasteful number, since it uses less digits than its factorization.

13506619896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 13506619896 in words is "thirteen billion, five hundred six million, six hundred nineteen thousand, eight hundred ninety-six".