12870385851024 has 675 divisors, whose sum is σ = 41086002500439. Its totient is φ = 3760881546240.

The previous prime is 12870385851013. The next prime is 12870385851031. The reversal of 12870385851024 is 42015858307821.

It is a happy number.

The square root of 12870385851024 is 3587532.

It is a perfect power (a square), and thus also a powerful number.

12870385851024 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 0 + 38 + 585 + 1 + 0 + 24 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 558708411024 + 12311677440000 = 747468^2 + 3508800^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 210989931954 + ... + 210989932014.

Almost surely, 2^{12870385851024} is an apocalyptic number.

12870385851024 is the 3587532-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12870385851024

12870385851024 is an abundant number, since it is smaller than the sum of its proper divisors (28215616649415).

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

12870385851024 is an frugal number, since it uses more digits than its factorization.

12870385851024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 12870385851024 in words is "twelve trillion, eight hundred seventy billion, three hundred eighty-five million, eight hundred fifty-one thousand, twenty-four".