12661748318880 has 432 divisors, whose sum is σ = 47599404783840. Its totient is φ = 3177847738368.

The previous prime is 12661748318837. The next prime is 12661748318909. The reversal of 12661748318880 is 8881384716621.

It is a happy number.

12661748318880 is a `hidden beast` number, since 1 + 2 + 6 + 61 + 7 + 483 + 18 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10672891 + ... + 11799749.

It is an arithmetic number, because the mean of its divisors is an integer number (110183807370).

Almost surely, 2^{12661748318880} is an apocalyptic number.

12661748318880 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 12661748318880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23799702391920).

12661748318880 is an abundant number, since it is smaller than the sum of its proper divisors (34937656464960).

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

12661748318880 is a wasteful number, since it uses less digits than its factorization.

12661748318880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126923 (or 1126886 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 12661748318880 in words is "twelve trillion, six hundred sixty-one billion, seven hundred forty-eight million, three hundred eighteen thousand, eight hundred eighty".