13335606720 has 336 divisors, whose sum is σ = 47806039008. Its totient is φ = 3538391040.

The previous prime is 13335606671. The next prime is 13335606731. The reversal of 13335606720 is 2760653331.

13335606720 is a `hidden beast` number, since 1 + 3 + 33 + 560 + 67 + 2 + 0 = 666.

13335606720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 24649650 + ... + 24650190.

It is an arithmetic number, because the mean of its divisors is an integer number (142279878).

Almost surely, 2^13335606720 is an apocalyptic number.

13335606720 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 13335606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23903019504).

13335606720 is an abundant number, since it is smaller than the sum of its proper divisors (34470432288).

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

13335606720 is an equidigital number, since it uses as much as digits as its factorization.

13335606720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The spelling of 13335606720 in words is "thirteen billion, three hundred thirty-five million, six hundred six thousand, seven hundred twenty".