13305506688 has 256 divisors, whose sum is σ = 42374145600. Its totient is φ = 4094558208.

The previous prime is 13305506681. The next prime is 13305506699. The reversal of 13305506688 is 88660550331.

13305506688 is a `hidden beast` number, since 1 + 3 + 30 + 550 + 6 + 68 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13305506681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3111720 + ... + 3115992.

Almost surely, 2^13305506688 is an apocalyptic number.

13305506688 is a gapful number since it is divisible by the number (18) 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 13305506688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21187072800).

13305506688 is an abundant number, since it is smaller than the sum of its proper divisors (29068638912).

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

13305506688 is a wasteful number, since it uses less digits than its factorization.

13305506688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4366 (or 4348 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 13305506688 in words is "thirteen billion, three hundred five million, five hundred six thousand, six hundred eighty-eight".