12871646928 has 240 divisors, whose sum is σ = 44029681920. Its totient is φ = 3587673600.

The previous prime is 12871646861. The next prime is 12871646933. The reversal of 12871646928 is 82964617821.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 860473 + ... + 875303.

It is an arithmetic number, because the mean of its divisors is an integer number (183457008).

Almost surely, 2^12871646928 is an apocalyptic number.

12871646928 is a gapful number since it is divisible by the number (18) 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 12871646928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014840960).

12871646928 is an abundant number, since it is smaller than the sum of its proper divisors (31158034992).

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

12871646928 is a wasteful number, since it uses less digits than its factorization.

12871646928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14903 (or 14884 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

12871646928 divided by its sum of digits (54) gives a palindrome (238363832).

The spelling of 12871646928 in words is "twelve billion, eight hundred seventy-one million, six hundred forty-six thousand, nine hundred twenty-eight".