12575627352 has 128 divisors (see below), whose sum is σ = 35754048000. Its totient is φ = 4094375040.

The previous prime is 12575627329. The next prime is 12575627357. The reversal of 12575627352 is 25372657521.

12575627352 is a `hidden beast` number, since 1 + 2 + 57 + 562 + 7 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12575627298 and 12575627307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12575627357) 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, 1667863 + ... + 1675385.

It is an arithmetic number, because the mean of its divisors is an integer number (279328500).

Almost surely, 2^12575627352 is an apocalyptic number.

12575627352 is a gapful number since it is divisible by the number (12) 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 12575627352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17877024000).

12575627352 is an abundant number, since it is smaller than the sum of its proper divisors (23178420648).

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

12575627352 is a wasteful number, since it uses less digits than its factorization.

12575627352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7718 (or 7708 counting only the distinct ones).

The product of its digits is 882000, while the sum is 45.

The spelling of 12575627352 in words is "twelve billion, five hundred seventy-five million, six hundred twenty-seven thousand, three hundred fifty-two".