12786580684800 has 1920 divisors, whose sum is σ = 52063087488720. Its totient is φ = 3095868211200.

The previous prime is 12786580684781. The next prime is 12786580684817. The reversal of 12786580684800 is 848608568721.

12786580684800 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 6 + 580 + 6 + 8 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 209616076770 + ... + 209616076830.

Almost surely, 2^{12786580684800} is an apocalyptic number.

12786580684800 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 12786580684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26031543744360).

12786580684800 is an abundant number, since it is smaller than the sum of its proper divisors (39276506803920).

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

12786580684800 is an frugal number, since it uses more digits than its factorization.

12786580684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 12786580684800 in words is "twelve trillion, seven hundred eighty-six billion, five hundred eighty million, six hundred eighty-four thousand, eight hundred".