12871519920 has 480 divisors, whose sum is σ = 53250877440. Its totient is φ = 2846430720.

The previous prime is 12871519919. The next prime is 12871519933. The reversal of 12871519920 is 2991517821.

12871519920 is a `hidden beast` number, since 128 + 7 + 1 + 519 + 9 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3279079 + ... + 3283001.

It is an arithmetic number, because the mean of its divisors is an integer number (110939328).

Almost surely, 2^12871519920 is an apocalyptic number.

12871519920 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 12871519920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26625438720).

12871519920 is an abundant number, since it is smaller than the sum of its proper divisors (40379357520).

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

12871519920 is a wasteful number, since it uses less digits than its factorization.

12871519920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3990 (or 3971 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 12871519920 in words is "twelve billion, eight hundred seventy-one million, five hundred nineteen thousand, nine hundred twenty".