13374705120 has 384 divisors, whose sum is σ = 52233818112. Its totient is φ = 2806579200.

The previous prime is 13374705101. The next prime is 13374705133. The reversal of 13374705120 is 2150747331.

13374705120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 2339065 + ... + 2344775.

It is an arithmetic number, because the mean of its divisors is an integer number (136025568).

Almost surely, 2^13374705120 is an apocalyptic number.

13374705120 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 13374705120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26116909056).

13374705120 is an abundant number, since it is smaller than the sum of its proper divisors (38859112992).

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

13374705120 is a wasteful number, since it uses less digits than its factorization.

13374705120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5794 (or 5786 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The spelling of 13374705120 in words is "thirteen billion, three hundred seventy-four million, seven hundred five thousand, one hundred twenty".