13388809800960 has 1152 divisors, whose sum is σ = 52965468864000. Its totient is φ = 3215188131840.

The previous prime is 13388809800953. The next prime is 13388809800973. The reversal of 13388809800960 is 6900890888331.

13388809800960 is a `hidden beast` number, since 1 + 3 + 388 + 80 + 98 + 0 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3356430646 + ... + 3356434634.

It is an arithmetic number, because the mean of its divisors is an integer number (45976969500).

Almost surely, 2^{13388809800960} is an apocalyptic number.

13388809800960 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 13388809800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26482734432000).

13388809800960 is an abundant number, since it is smaller than the sum of its proper divisors (39576659063040).

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

13388809800960 is an equidigital number, since it uses as much as digits as its factorization.

13388809800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4151 (or 4119 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 13388809800960 in words is "thirteen trillion, three hundred eighty-eight billion, eight hundred nine million, eight hundred thousand, nine hundred sixty".