12875023839600 has 960 divisors, whose sum is σ = 52133083269120. Its totient is φ = 3031382154240.

The previous prime is 12875023839589. The next prime is 12875023839611. The reversal of 12875023839600 is 693832057821.

12875023839600 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 5 + 0 + 23 + 8 + 3 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (12875023839589) and next prime (12875023839611).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 261540589 + ... + 261589811.

It is an arithmetic number, because the mean of its divisors is an integer number (54305295072).

Almost surely, 2^{12875023839600} is an apocalyptic number.

12875023839600 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 12875023839600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26066541634560).

12875023839600 is an abundant number, since it is smaller than the sum of its proper divisors (39258059429520).

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

12875023839600 is a wasteful number, since it uses less digits than its factorization.

12875023839600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49298 (or 49269 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 12875023839600 in words is "twelve trillion, eight hundred seventy-five billion, twenty-three million, eight hundred thirty-nine thousand, six hundred".