12966960752640 has 1152 divisors, whose sum is σ = 48833853868800. Its totient is φ = 3171035381760.

The previous prime is 12966960752593. The next prime is 12966960752663. The reversal of 12966960752640 is 4625706966921.

12966960752640 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 6 + 9 + 60 + 7 + 526 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×12966960752640² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17039369860 + ... + 17039370620.

It is an arithmetic number, because the mean of its divisors is an integer number (42390498150).

Almost surely, 2^{12966960752640} is an apocalyptic number.

12966960752640 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 12966960752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24416926934400).

12966960752640 is an abundant number, since it is smaller than the sum of its proper divisors (35866893116160).

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

12966960752640 is a wasteful number, since it uses less digits than its factorization.

12966960752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 12966960752640 in words is "twelve trillion, nine hundred sixty-six billion, nine hundred sixty million, seven hundred fifty-two thousand, six hundred forty".