13074012645120 has 2160 divisors, whose sum is σ = 57554993599488. Its totient is φ = 2774974464000.

The previous prime is 13074012645061. The next prime is 13074012645191. The reversal of 13074012645120 is 2154621047031.

13074012645120 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 4 + 0 + 1 + 2 + 645 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17408804745 + ... + 17408805495.

Almost surely, 2^{13074012645120} is an apocalyptic number.

13074012645120 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 13074012645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28777496799744).

13074012645120 is an abundant number, since it is smaller than the sum of its proper divisors (44480980954368).

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

13074012645120 is an equidigital number, since it uses as much as digits as its factorization.

13074012645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 13074012645120 in words is "thirteen trillion, seventy-four billion, twelve million, six hundred forty-five thousand, one hundred twenty".