12586867080444 has 72 divisors (see below), whose sum is σ = 31836139525008. Its totient is φ = 4193073131520.

The previous prime is 12586867080439. The next prime is 12586867080449. The reversal of 12586867080444 is 44408076868521.

It is a happy number.

12586867080444 is a `hidden beast` number, since 1 + 2 + 58 + 6 + 8 + 67 + 0 + 80 + 444 = 666.

It is an interprime number because it is at equal distance from previous prime (12586867080439) and next prime (12586867080449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12586867080449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 918943804 + ... + 918957500.

It is an arithmetic number, because the mean of its divisors is an integer number (442168604514).

Almost surely, 2^{12586867080444} is an apocalyptic number.

It is an amenable number.

12586867080444 is an abundant number, since it is smaller than the sum of its proper divisors (19249272444564).

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

12586867080444 is a wasteful number, since it uses less digits than its factorization.

12586867080444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27355 (or 27350 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 12586867080444 in words is "twelve trillion, five hundred eighty-six billion, eight hundred sixty-seven million, eighty thousand, four hundred forty-four".