13704855141120 has 1152 divisors, whose sum is σ = 52242779796480. Its totient is φ = 3018172661760.

The previous prime is 13704855141049. The next prime is 13704855141121. The reversal of 13704855141120 is 2114155840731.

It is a super-2 number, since 2×13704855141120² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13704855141121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17729437054 + ... + 17729437826.

It is an arithmetic number, because the mean of its divisors is an integer number (45349635240).

Almost surely, 2^{13704855141120} is an apocalyptic number.

13704855141120 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 13704855141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26121389898240).

13704855141120 is an abundant number, since it is smaller than the sum of its proper divisors (38537924655360).

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

13704855141120 is a wasteful number, since it uses less digits than its factorization.

13704855141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 13704855141120 in words is "thirteen trillion, seven hundred four billion, eight hundred fifty-five million, one hundred forty-one thousand, one hundred twenty".