12514055006250 has 768 divisors, whose sum is σ = 41522142412800. Its totient is φ = 2767429800000.

The previous prime is 12514055006249. The next prime is 12514055006303. The reversal of 12514055006250 is 5260055041521.

12514055006250 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 40 + 5 + 500 + 62 + 50 = 666.

12514055006250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2966116641 + ... + 2966120859.

It is an arithmetic number, because the mean of its divisors is an integer number (54065289600).

Almost surely, 2^{12514055006250} is an apocalyptic number.

12514055006250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12514055006250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20761071206400).

12514055006250 is an abundant number, since it is smaller than the sum of its proper divisors (29008087406550).

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

12514055006250 is an frugal number, since it uses more digits than its factorization.

12514055006250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4305 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 12514055006250 in words is "twelve trillion, five hundred fourteen billion, fifty-five million, six thousand, two hundred fifty".