12969786646880 has 768 divisors, whose sum is σ = 37842084403200. Its totient is φ = 4107997347840.

The previous prime is 12969786646849. The next prime is 12969786646889. The reversal of 12969786646880 is 8864668796921.

It is a Cunningham number, because it is equal to 3601359²-1.

It is a Harshad number since it is a multiple of its sum of digits (80).

It is a junction number, because it is equal to n+sod(n) for n = 12969786646795 and 12969786646804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12969786646889) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10926525647 + ... + 10926526833.

It is an arithmetic number, because the mean of its divisors is an integer number (49273547400).

Almost surely, 2^{12969786646880} is an apocalyptic number.

12969786646880 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 12969786646880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18921042201600).

12969786646880 is an abundant number, since it is smaller than the sum of its proper divisors (24872297756320).

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

12969786646880 is a wasteful number, since it uses less digits than its factorization.

12969786646880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 3009871872, while the sum is 80.

The spelling of 12969786646880 in words is "twelve trillion, nine hundred sixty-nine billion, seven hundred eighty-six million, six hundred forty-six thousand, eight hundred eighty".