12871595520 has 640 divisors, whose sum is σ = 53739417600. Its totient is φ = 2858582016.

The previous prime is 12871595519. The next prime is 12871595521. The reversal of 12871595520 is 2559517821.

12871595520 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 1 + 595 + 52 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12871595519) and next prime (12871595521).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12871595521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17901721 + ... + 17902439.

It is an arithmetic number, because the mean of its divisors is an integer number (83967840).

Almost surely, 2^12871595520 is an apocalyptic number.

12871595520 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 12871595520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26869708800).

12871595520 is an abundant number, since it is smaller than the sum of its proper divisors (40867822080).

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

12871595520 is an equidigital number, since it uses as much as digits as its factorization.

12871595520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 12871595520 in words is "twelve billion, eight hundred seventy-one million, five hundred ninety-five thousand, five hundred twenty".