12776631678720 has 3888 divisors, whose sum is σ = 60026817614400. Its totient is φ = 2505662595072.

The previous prime is 12776631678691. The next prime is 12776631678731. The reversal of 12776631678720 is 2787613667721.

12776631678720 is a `hidden beast` number, since 127 + 7 + 66 + 316 + 78 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 241068522214 + ... + 241068522266.

It is an arithmetic number, because the mean of its divisors is an integer number (15438996300).

Almost surely, 2^{12776631678720} is an apocalyptic number.

12776631678720 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 12776631678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30013408807200).

12776631678720 is an abundant number, since it is smaller than the sum of its proper divisors (47250185935680).

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

12776631678720 is a wasteful number, since it uses less digits than its factorization.

12776631678720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 12776631678720 in words is "twelve trillion, seven hundred seventy-six billion, six hundred thirty-one million, six hundred seventy-eight thousand, seven hundred twenty".