12575358432 has 576 divisors, whose sum is σ = 46726666560. Its totient is φ = 3260694528.

The previous prime is 12575358431. The next prime is 12575358451. The reversal of 12575358432 is 23485357521.

12575358432 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 535 + 84 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12575358431) 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 95 ways as a sum of consecutive naturals, for example, 40176708 + ... + 40177020.

It is an arithmetic number, because the mean of its divisors is an integer number (81122685).

Almost surely, 2^12575358432 is an apocalyptic number.

12575358432 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 12575358432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23363333280).

12575358432 is an abundant number, since it is smaller than the sum of its proper divisors (34151308128).

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

12575358432 is a wasteful number, since it uses less digits than its factorization.

12575358432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 411 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 12575358432 in words is "twelve billion, five hundred seventy-five million, three hundred fifty-eight thousand, four hundred thirty-two".