12530064960 has 560 divisors, whose sum is σ = 51939968256. Its totient is φ = 2807820288.

The previous prime is 12530064929. The next prime is 12530064971. The reversal of 12530064960 is 6946003521.

It is a happy number.

12530064960 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 0 + 0 + 649 + 6 + 0 = 666.

12530064960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 9615669 + ... + 9616971.

Almost surely, 2^12530064960 is an apocalyptic number.

12530064960 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 12530064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25969984128).

12530064960 is an abundant number, since it is smaller than the sum of its proper divisors (39409903296).

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

12530064960 is a wasteful number, since it uses less digits than its factorization.

12530064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 12530064960 in words is "twelve billion, five hundred thirty million, sixty-four thousand, nine hundred sixty".