12771868598820 has 144 divisors (see below), whose sum is σ = 39322241632128. Its totient is φ = 3354769820160.

The previous prime is 12771868598809. The next prime is 12771868598821. The reversal of 12771868598820 is 2889586817721.

12771868598820 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 1 + 8 + 6 + 8 + 598 + 8 + 20 = 666.

12771868598820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12771868598821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247457457 + ... + 247509063.

Almost surely, 2^{12771868598820} is an apocalyptic number.

12771868598820 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 12771868598820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19661120816064).

12771868598820 is an abundant number, since it is smaller than the sum of its proper divisors (26550373033308).

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

12771868598820 is a wasteful number, since it uses less digits than its factorization.

12771868598820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72210 (or 72205 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 72.

The spelling of 12771868598820 in words is "twelve trillion, seven hundred seventy-one billion, eight hundred sixty-eight million, five hundred ninety-eight thousand, eight hundred twenty".