12667632068520 has 1152 divisors, whose sum is σ = 52477368652800. Its totient is φ = 2622629560320.

The previous prime is 12667632068473. The next prime is 12667632068557. The reversal of 12667632068520 is 2586023676621.

12667632068520 is a `hidden beast` number, since 1 + 26 + 6 + 7 + 6 + 32 + 0 + 68 + 520 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 567967689 + ... + 567989991.

It is an arithmetic number, because the mean of its divisors is an integer number (45553271400).

Almost surely, 2^{12667632068520} is an apocalyptic number.

12667632068520 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 12667632068520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26238684326400).

12667632068520 is an abundant number, since it is smaller than the sum of its proper divisors (39809736584280).

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

12667632068520 is a wasteful number, since it uses less digits than its factorization.

12667632068520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22431 (or 22413 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 12667632068520 in words is "twelve trillion, six hundred sixty-seven billion, six hundred thirty-two million, sixty-eight thousand, five hundred twenty".