13208508768 has 768 divisors, whose sum is σ = 49421352960. Its totient is φ = 2985984000.

The previous prime is 13208508767. The next prime is 13208508811. The reversal of 13208508768 is 86780580231.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13208508767) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87473493 + ... + 87473643.

It is an arithmetic number, because the mean of its divisors is an integer number (64350720).

Almost surely, 2^13208508768 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 13208508768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24710676480).

13208508768 is an abundant number, since it is smaller than the sum of its proper divisors (36212844192).

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

13208508768 is a wasteful number, since it uses less digits than its factorization.

13208508768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 13208508768 in words is "thirteen billion, two hundred eight million, five hundred eight thousand, seven hundred sixty-eight".