12664056797280 has 2304 divisors, whose sum is σ = 56554630272000. Its totient is φ = 2629457510400.

The previous prime is 12664056797251. The next prime is 12664056797303. The reversal of 12664056797280 is 8279765046621.

12664056797280 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 40 + 567 + 9 + 7 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10058821291 + ... + 10058822549.

It is an arithmetic number, because the mean of its divisors is an integer number (24546280500).

Almost surely, 2^{12664056797280} is an apocalyptic number.

12664056797280 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 12664056797280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28277315136000).

12664056797280 is an abundant number, since it is smaller than the sum of its proper divisors (43890573474720).

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

12664056797280 is a wasteful number, since it uses less digits than its factorization.

12664056797280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 12664056797280 in words is "twelve trillion, six hundred sixty-four billion, fifty-six million, seven hundred ninety-seven thousand, two hundred eighty".