12529850760 has 576 divisors, whose sum is σ = 50129539200. Its totient is φ = 2700859392.

The previous prime is 12529850747. The next prime is 12529850761. The reversal of 12529850760 is 6705892521.

12529850760 is a `hidden beast` number, since 1 + 2 + 52 + 98 + 507 + 6 + 0 = 666.

12529850760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12529850761) 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 143 ways as a sum of consecutive naturals, for example, 36108907 + ... + 36109253.

It is an arithmetic number, because the mean of its divisors is an integer number (87030450).

Almost surely, 2^12529850760 is an apocalyptic number.

12529850760 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 12529850760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25064769600).

12529850760 is an abundant number, since it is smaller than the sum of its proper divisors (37599688440).

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

12529850760 is a wasteful number, since it uses less digits than its factorization.

12529850760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 12529850760 in words is "twelve billion, five hundred twenty-nine million, eight hundred fifty thousand, seven hundred sixty".