12871723540 has 96 divisors (see below), whose sum is σ = 30307848480. Its totient is φ = 4560592896.

The previous prime is 12871723537. The next prime is 12871723541. The reversal of 12871723540 is 4532717821.

It can be written as a sum of positive squares in 16 ways, for example, as 1942693776 + 10929029764 = 44076^2 + 104542^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12871723493 and 12871723502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12871723541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 693096 + ... + 711424.

It is an arithmetic number, because the mean of its divisors is an integer number (315706755).

Almost surely, 2^12871723540 is an apocalyptic number.

12871723540 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 12871723540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15153924240).

12871723540 is an abundant number, since it is smaller than the sum of its proper divisors (17436124940).

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

12871723540 is a wasteful number, since it uses less digits than its factorization.

12871723540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18461 (or 18459 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 12871723540 in words is "twelve billion, eight hundred seventy-one million, seven hundred twenty-three thousand, five hundred forty".