12777048643680 has 240 divisors, whose sum is σ = 45394974147600. Its totient is φ = 3384345259008.

The previous prime is 12777048643643. The next prime is 12777048643687. The reversal of 12777048643680 is 8634684077721.

12777048643680 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 70 + 486 + 4 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12777048643687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1377294 + ... + 5239373.

It is an arithmetic number, because the mean of its divisors is an integer number (189145725615).

Almost surely, 2^{12777048643680} is an apocalyptic number.

12777048643680 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 12777048643680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22697487073800).

12777048643680 is an abundant number, since it is smaller than the sum of its proper divisors (32617925503920).

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

12777048643680 is a wasteful number, since it uses less digits than its factorization.

12777048643680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6616843 (or 6616826 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 12777048643680 in words is "twelve trillion, seven hundred seventy-seven billion, forty-eight million, six hundred forty-three thousand, six hundred eighty".