12804991965108 has 576 divisors, whose sum is σ = 39728392704000. Its totient is φ = 3396750888960.

The previous prime is 12804991965049. The next prime is 12804991965119. The reversal of 12804991965108 is 80156919940821.

12804991965108 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 499 + 1 + 96 + 51 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21593578060 + ... + 21593578652.

It is an arithmetic number, because the mean of its divisors is an integer number (68972904000).

Almost surely, 2^{12804991965108} is an apocalyptic number.

12804991965108 is a gapful number since it is divisible by the number (18) 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 12804991965108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19864196352000).

12804991965108 is an abundant number, since it is smaller than the sum of its proper divisors (26923400738892).

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

12804991965108 is a wasteful number, since it uses less digits than its factorization.

12804991965108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 63.

The spelling of 12804991965108 in words is "twelve trillion, eight hundred four billion, nine hundred ninety-one million, nine hundred sixty-five thousand, one hundred eight".