12991758067872 has 240 divisors, whose sum is σ = 40468294500480. Its totient is φ = 4074602268672.

The previous prime is 12991758067859. The next prime is 12991758067891. The reversal of 12991758067872 is 27876085719921.

12991758067872 is a `hidden beast` number, since 1 + 29 + 9 + 17 + 580 + 6 + 7 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 12991758067872.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 150082779 + ... + 150169317.

It is an arithmetic number, because the mean of its divisors is an integer number (168617893752).

Almost surely, 2^{12991758067872} is an apocalyptic number.

12991758067872 is a gapful number since it is divisible by the number (12) 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 12991758067872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20234147250240).

12991758067872 is an abundant number, since it is smaller than the sum of its proper divisors (27476536432608).

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

12991758067872 is a wasteful number, since it uses less digits than its factorization.

12991758067872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89985 (or 89968 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 72.

The spelling of 12991758067872 in words is "twelve trillion, nine hundred ninety-one billion, seven hundred fifty-eight million, sixty-seven thousand, eight hundred seventy-two".