12875875040 has 144 divisors (see below), whose sum is σ = 35835307200. Its totient is φ = 4358495232.

The previous prime is 12875875037. The next prime is 12875875043. The reversal of 12875875040 is 4057857821.

It is an interprime number because it is at equal distance from previous prime (12875875037) and next prime (12875875043).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12875875043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 608966 + ... + 629754.

It is an arithmetic number, because the mean of its divisors is an integer number (248856300).

Almost surely, 2^12875875040 is an apocalyptic number.

12875875040 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 12875875040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17917653600).

12875875040 is an abundant number, since it is smaller than the sum of its proper divisors (22959432160).

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

12875875040 is a wasteful number, since it uses less digits than its factorization.

12875875040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20897 (or 20882 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 47.

The spelling of 12875875040 in words is "twelve billion, eight hundred seventy-five million, eight hundred seventy-five thousand, forty".