12575180772 has 192 divisors, whose sum is σ = 43038535680. Its totient is φ = 3074112000.

The previous prime is 12575180731. The next prime is 12575180777. The reversal of 12575180772 is 27708157521.

12575180772 is a `hidden beast` number, since 1 + 2 + 575 + 1 + 8 + 0 + 7 + 72 = 666.

12575180772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12575180777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96897 + ... + 185847.

It is an arithmetic number, because the mean of its divisors is an integer number (224159040).

Almost surely, 2^12575180772 is an apocalyptic number.

12575180772 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 12575180772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21519267840).

12575180772 is an abundant number, since it is smaller than the sum of its proper divisors (30463354908).

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

12575180772 is a wasteful number, since it uses less digits than its factorization.

12575180772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88999 (or 88991 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 45.

The spelling of 12575180772 in words is "twelve billion, five hundred seventy-five million, one hundred eighty thousand, seven hundred seventy-two".