12887992241280 has 576 divisors, whose sum is σ = 50726975457600. Its totient is φ = 3005454606336.

The previous prime is 12887992241263. The next prime is 12887992241287. The reversal of 12887992241280 is 8214229978821.

12887992241280 is a `hidden beast` number, since 1 + 28 + 8 + 7 + 9 + 92 + 241 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×12887992241280² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12887992241287) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18146949 + ... + 18843771.

It is an arithmetic number, because the mean of its divisors is an integer number (88067665725).

Almost surely, 2^{12887992241280} is an apocalyptic number.

12887992241280 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 12887992241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25363487728800).

12887992241280 is an abundant number, since it is smaller than the sum of its proper divisors (37838983216320).

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

12887992241280 is a wasteful number, since it uses less digits than its factorization.

12887992241280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696893 (or 696865 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 12887992241280 in words is "twelve trillion, eight hundred eighty-seven billion, nine hundred ninety-two million, two hundred forty-one thousand, two hundred eighty".