12385894809600 has 2025 divisors, whose sum is σ = 50765234200527. Its totient is φ = 2983966801920.

The previous prime is 12385894809487. The next prime is 12385894809611. The reversal of 12385894809600 is 690849858321.

The square root of 12385894809600 is 3519360.

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

12385894809600 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 589 + 48 + 0 + 9 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3192482709504 + 9193412100096 = 1786752^2 + 3032064^2 .

It is a tau number, because it is divible by the number of its divisors (2025).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 263529676777 + ... + 263529676823.

Almost surely, 2^{12385894809600} is an apocalyptic number.

12385894809600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12385894809600 is the 3519360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12385894809600

12385894809600 is an abundant number, since it is smaller than the sum of its proper divisors (38379339390927).

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

12385894809600 is an frugal number, since it uses more digits than its factorization.

12385894809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 12385894809600 in words is "twelve trillion, three hundred eighty-five billion, eight hundred ninety-four million, eight hundred nine thousand, six hundred".