13955056005120 has 1664 divisors, whose sum is σ = 51178772920320. Its totient is φ = 3227768586240.

The previous prime is 13955056005119. The next prime is 13955056005203. The reversal of 13955056005120 is 2150065055931.

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 127 ways as a sum of consecutive naturals, for example, 130421084107 + ... + 130421084213.

Almost surely, 2^{13955056005120} is an apocalyptic number.

13955056005120 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 13955056005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25589386460160).

13955056005120 is an abundant number, since it is smaller than the sum of its proper divisors (37223716915200).

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

13955056005120 is a wasteful number, since it uses less digits than its factorization.

13955056005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 42.

The spelling of 13955056005120 in words is "thirteen trillion, nine hundred fifty-five billion, fifty-six million, five thousand, one hundred twenty".