12771381616110 has 256 divisors, whose sum is σ = 38278637752320. Its totient is φ = 3006474831360.

The previous prime is 12771381616093. The next prime is 12771381616183. The reversal of 12771381616110 is 1161618317721.

12771381616110 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 13 + 8 + 1 + 616 + 1 + 10 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 558397975 + ... + 558420845.

It is an arithmetic number, because the mean of its divisors is an integer number (149525928720).

Almost surely, 2^{12771381616110} is an apocalyptic number.

12771381616110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12771381616110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19139318876160).

12771381616110 is an abundant number, since it is smaller than the sum of its proper divisors (25507256136210).

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

12771381616110 is a wasteful number, since it uses less digits than its factorization.

12771381616110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29840 (or 29834 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 12771381616110 in words is "twelve trillion, seven hundred seventy-one billion, three hundred eighty-one million, six hundred sixteen thousand, one hundred ten".