12965996764800 has 384 divisors, whose sum is σ = 47473210627200. Its totient is φ = 3456049766400.

The previous prime is 12965996764757. The next prime is 12965996764813. The reversal of 12965996764800 is 846769956921.

12965996764800 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 59 + 96 + 7 + 6 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-4 number, since 4×12965996764800⁴ (a number of 54 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199637932 + ... + 199702868.

It is an arithmetic number, because the mean of its divisors is an integer number (123628152675).

Almost surely, 2^{12965996764800} is an apocalyptic number.

12965996764800 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 12965996764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23736605313600).

12965996764800 is an abundant number, since it is smaller than the sum of its proper divisors (34507213862400).

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

12965996764800 is a wasteful number, since it uses less digits than its factorization.

12965996764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67281 (or 67258 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 12965996764800 in words is "twelve trillion, nine hundred sixty-five billion, nine hundred ninety-six million, seven hundred sixty-four thousand, eight hundred".