12850504257600 has 189 divisors, whose sum is σ = 45675255259543. Its totient is φ = 3426686423040.

The previous prime is 12850504257581. The next prime is 12850504257709. The reversal of 12850504257600 is 675240505821.

The square root of 12850504257600 is 3584760.

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

12850504257600 is a `hidden beast` number, since 1 + 2 + 8 + 50 + 504 + 25 + 76 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2395783900224 + 10454720357376 = 1547832^2 + 3233376^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 430156264 + ... + 430186136.

Almost surely, 2^{12850504257600} is an apocalyptic number.

12850504257600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12850504257600 is the 3584760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12850504257600

12850504257600 is an abundant number, since it is smaller than the sum of its proper divisors (32824751001943).

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

12850504257600 is an frugal number, since it uses more digits than its factorization.

12850504257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59774 (or 29883 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 12850504257600 in words is "twelve trillion, eight hundred fifty billion, five hundred four million, two hundred fifty-seven thousand, six hundred".