12777977966752 has 384 divisors, whose sum is σ = 28032149053440. Its totient is φ = 5713956864000.

The previous prime is 12777977966737. The next prime is 12777977966807. The reversal of 12777977966752 is 25766977977721.

12777977966752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34817378473 + ... + 34817378839.

It is an arithmetic number, because the mean of its divisors is an integer number (73000388160).

Almost surely, 2^{12777977966752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12777977966752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14016074526720).

12777977966752 is an abundant number, since it is smaller than the sum of its proper divisors (15254171086688).

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

12777977966752 is a wasteful number, since it uses less digits than its factorization.

12777977966752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 836 counting only the distinct ones).

The product of its digits is 6861289680, while the sum is 82.

The spelling of 12777977966752 in words is "twelve trillion, seven hundred seventy-seven billion, nine hundred seventy-seven million, nine hundred sixty-six thousand, seven hundred fifty-two".