12867556423680 has 1920 divisors, whose sum is σ = 55558863360000. Its totient is φ = 2844328919040.

The previous prime is 12867556423619. The next prime is 12867556423693. The reversal of 12867556423680 is 8632465576821.

12867556423680 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 7 + 5 + 564 + 2 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8819434791 + ... + 8819436249.

It is an arithmetic number, because the mean of its divisors is an integer number (28936908000).

Almost surely, 2^{12867556423680} is an apocalyptic number.

12867556423680 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 12867556423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27779431680000).

12867556423680 is an abundant number, since it is smaller than the sum of its proper divisors (42691306936320).

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

12867556423680 is an equidigital number, since it uses as much as digits as its factorization.

12867556423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 12867556423680 in words is "twelve trillion, eight hundred sixty-seven billion, five hundred fifty-six million, four hundred twenty-three thousand, six hundred eighty".