13127293745280 has 3072 divisors, whose sum is σ = 59460878131200. Its totient is φ = 2719634227200.

The previous prime is 13127293745243. The next prime is 13127293745281. The reversal of 13127293745280 is 8254739272131.

13127293745280 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 7 + 293 + 74 + 5 + 280 = 666.

13127293745280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13127293745281) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19859748150 + ... + 19859748810.

It is an arithmetic number, because the mean of its divisors is an integer number (19355754600).

Almost surely, 2^{13127293745280} is an apocalyptic number.

13127293745280 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 13127293745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29730439065600).

13127293745280 is an abundant number, since it is smaller than the sum of its proper divisors (46333584385920).

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

13127293745280 is a wasteful number, since it uses less digits than its factorization.

13127293745280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 13127293745280 in words is "thirteen trillion, one hundred twenty-seven billion, two hundred ninety-three million, seven hundred forty-five thousand, two hundred eighty".