12867109967880 has 1280 divisors, whose sum is σ = 54709464268800. Its totient is φ = 2644656168960.

The previous prime is 12867109967879. The next prime is 12867109967939. The reversal of 12867109967880 is 8876990176821.

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

It is a junction number, because it is equal to n+sod(n) for n = 12867109967799 and 12867109967808.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 944229627 + ... + 944243253.

It is an arithmetic number, because the mean of its divisors is an integer number (42741768960).

Almost surely, 2^{12867109967880} is an apocalyptic number.

12867109967880 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 12867109967880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27354732134400).

12867109967880 is an abundant number, since it is smaller than the sum of its proper divisors (41842354300920).

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

12867109967880 is a wasteful number, since it uses less digits than its factorization.

12867109967880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13784 (or 13771 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 72.

The spelling of 12867109967880 in words is "twelve trillion, eight hundred sixty-seven billion, one hundred nine million, nine hundred sixty-seven thousand, eight hundred eighty".