12575712825918 has 384 divisors, whose sum is σ = 31975923253248. Its totient is φ = 3564087912000.

The previous prime is 12575712825857. The next prime is 12575712825979. The reversal of 12575712825918 is 81952821757521.

It is a happy number.

12575712825918 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 571 + 2 + 8 + 2 + 59 + 1 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12575712825857) and next prime (12575712825979).

It is a Curzon number.

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, 4968672313 + ... + 4968674843.

It is an arithmetic number, because the mean of its divisors is an integer number (83270633472).

Almost surely, 2^{12575712825918} is an apocalyptic number.

12575712825918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12575712825918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15987961626624).

12575712825918 is an abundant number, since it is smaller than the sum of its proper divisors (19400210427330).

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

12575712825918 is a wasteful number, since it uses less digits than its factorization.

12575712825918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793 (or 2768 counting only the distinct ones).

The product of its digits is 28224000, while the sum is 63.

The spelling of 12575712825918 in words is "twelve trillion, five hundred seventy-five billion, seven hundred twelve million, eight hundred twenty-five thousand, nine hundred eighteen".