12771629620038 has 24 divisors (see below), whose sum is σ = 28022140941600. Its totient is φ = 4203321140304.

The previous prime is 12771629620037. The next prime is 12771629620133. The reversal of 12771629620038 is 83002692617721.

It is a happy number.

12771629620038 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 1 + 6 + 2 + 9 + 620 + 0 + 3 + 8 = 666.

12771629620038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12771629620038² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12771629620031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4490726293 + ... + 4490729136.

It is an arithmetic number, because the mean of its divisors is an integer number (1167589205900).

Almost surely, 2^{12771629620038} is an apocalyptic number.

12771629620038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12771629620038 is an abundant number, since it is smaller than the sum of its proper divisors (15250511321562).

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

12771629620038 is a wasteful number, since it uses less digits than its factorization.

12771629620038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8981455516 (or 8981455513 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 12771629620038 in words is "twelve trillion, seven hundred seventy-one billion, six hundred twenty-nine million, six hundred twenty thousand, thirty-eight".