12777056640 has 384 divisors, whose sum is σ = 47349338400. Its totient is φ = 3288563712.

The previous prime is 12777056599. The next prime is 12777056647. The reversal of 12777056640 is 4665077721.

12777056640 is a `hidden beast` number, since 12 + 7 + 7 + 70 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12777056647) 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, 4508664 + ... + 4511496.

Almost surely, 2^12777056640 is an apocalyptic number.

12777056640 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 12777056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23674669200).

12777056640 is an abundant number, since it is smaller than the sum of its proper divisors (34572281760).

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

12777056640 is an equidigital number, since it uses as much as digits as its factorization.

12777056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 12777056640 in words is "twelve billion, seven hundred seventy-seven million, fifty-six thousand, six hundred forty".