12938810957280 has 480 divisors, whose sum is σ = 50504875100064. Its totient is φ = 3098857181184.

The previous prime is 12938810957227. The next prime is 12938810957297. The reversal of 12938810957280 is 8275901883921.

12938810957280 is a `hidden beast` number, since 1 + 2 + 9 + 388 + 109 + 5 + 72 + 80 = 666.

12938810957280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5195959 + ... + 7271561.

Almost surely, 2^{12938810957280} is an apocalyptic number.

12938810957280 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 12938810957280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25252437550032).

12938810957280 is an abundant number, since it is smaller than the sum of its proper divisors (37566064142784).

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

12938810957280 is a wasteful number, since it uses less digits than its factorization.

12938810957280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075680 (or 2075663 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 12938810957280 in words is "twelve trillion, nine hundred thirty-eight billion, eight hundred ten million, nine hundred fifty-seven thousand, two hundred eighty".