12871457280 has 960 divisors, whose sum is σ = 53552822400. Its totient is φ = 2956124160.

The previous prime is 12871457267. The next prime is 12871457293. The reversal of 12871457280 is 8275417821.

12871457280 is a `hidden beast` number, since 1 + 2 + 8 + 71 + 4 + 572 + 8 + 0 = 666.

12871457280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12871457267) and next prime (12871457293).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 677445111 + ... + 677445129.

It is an arithmetic number, because the mean of its divisors is an integer number (55784190).

Almost surely, 2^12871457280 is an apocalyptic number.

12871457280 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 12871457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26776411200).

12871457280 is an abundant number, since it is smaller than the sum of its proper divisors (40681365120).

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

12871457280 is an frugal number, since it uses more digits than its factorization.

12871457280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 12871457280 in words is "twelve billion, eight hundred seventy-one million, four hundred fifty-seven thousand, two hundred eighty".