13257184970604 has 192 divisors, whose sum is σ = 34109792059392. Its totient is φ = 3993981868800.

The previous prime is 13257184970597. The next prime is 13257184970633. The reversal of 13257184970604 is 40607948175231.

13257184970604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169258419 + ... + 169336725.

It is an arithmetic number, because the mean of its divisors is an integer number (177655166976).

It is a 1-persistent number, because it is pandigital, but 2⋅13257184970604 = 26514369941208 is not.

Almost surely, 2^{13257184970604} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13257184970604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17054896029696).

13257184970604 is an abundant number, since it is smaller than the sum of its proper divisors (20852607088788).

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

13257184970604 is a wasteful number, since it uses less digits than its factorization.

13257184970604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78836 (or 78834 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 13257184970604 in words is "thirteen trillion, two hundred fifty-seven billion, one hundred eighty-four million, nine hundred seventy thousand, six hundred four".