12851684764800 has 768 divisors, whose sum is σ = 49378308038400. Its totient is φ = 2877161472000.

The previous prime is 12851684764783. The next prime is 12851684764823. The reversal of 12851684764800 is 846748615821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 987900696 + ... + 987913704.

It is an arithmetic number, because the mean of its divisors is an integer number (64294671925).

Almost surely, 2^{12851684764800} is an apocalyptic number.

12851684764800 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 12851684764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24689154019200).

12851684764800 is an abundant number, since it is smaller than the sum of its proper divisors (36526623273600).

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

12851684764800 is a wasteful number, since it uses less digits than its factorization.

12851684764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13345 (or 13328 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 60.

The spelling of 12851684764800 in words is "twelve trillion, eight hundred fifty-one billion, six hundred eighty-four million, seven hundred sixty-four thousand, eight hundred".