13373328096000 has 864 divisors, whose sum is σ = 50014329857856. Its totient is φ = 3558297600000.

The previous prime is 13373328095957. The next prime is 13373328096031. The reversal of 13373328096000 is 69082337331.

13373328096000 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 3 + 32 + 8 + 0 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4051294350 + ... + 4051297650.

It is an arithmetic number, because the mean of its divisors is an integer number (57886955854).

Almost surely, 2^{13373328096000} is an apocalyptic number.

13373328096000 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 13373328096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25007164928928).

13373328096000 is an abundant number, since it is smaller than the sum of its proper divisors (36641001761856).

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

13373328096000 is an frugal number, since it uses more digits than its factorization.

13373328096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3868 (or 3832 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 13373328096000 in words is "thirteen trillion, three hundred seventy-three billion, three hundred twenty-eight million, ninety-six thousand".