13354155120000 has 640 divisors, whose sum is σ = 47238010997760. Its totient is φ = 3333738496000.

The previous prime is 13354155119969. The next prime is 13354155120121. The reversal of 13354155120000 is 2155145331.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 13354155120000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 259414264 + ... + 259465736.

It is an arithmetic number, because the mean of its divisors is an integer number (73809392184).

Almost surely, 2^{13354155120000} is an apocalyptic number.

13354155120000 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 13354155120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23619005498880).

13354155120000 is an abundant number, since it is smaller than the sum of its proper divisors (33883855877760).

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

13354155120000 is an equidigital number, since it uses as much as digits as its factorization.

13354155120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51580 (or 51553 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 13354155120000 in words is "thirteen trillion, three hundred fifty-four billion, one hundred fifty-five million, one hundred twenty thousand".