12507713280 has 576 divisors, whose sum is σ = 47903184000. Its totient is φ = 3078881280.

The previous prime is 12507713221. The next prime is 12507713287. The reversal of 12507713280 is 8231770521.

12507713280 is a `hidden beast` number, since 1 + 2 + 507 + 71 + 3 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12507713287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35838546 + ... + 35838894.

It is an arithmetic number, because the mean of its divisors is an integer number (83165250).

Almost surely, 2^12507713280 is an apocalyptic number.

12507713280 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 12507713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23951592000).

12507713280 is an abundant number, since it is smaller than the sum of its proper divisors (35395470720).

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

12507713280 is a wasteful number, since it uses less digits than its factorization.

12507713280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 12507713280 in words is "twelve billion, five hundred seven million, seven hundred thirteen thousand, two hundred eighty".