12797568000 has 1056 divisors, whose sum is σ = 56508990720. Its totient is φ = 2797977600.

The previous prime is 12797567927. The next prime is 12797568001. The reversal of 12797568000 is 86579721.

12797568000 is a `hidden beast` number, since 12 + 79 + 7 + 568 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12797568001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 556415989 + ... + 556416011.

Almost surely, 2^12797568000 is an apocalyptic number.

12797568000 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 12797568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28254495360).

12797568000 is an abundant number, since it is smaller than the sum of its proper divisors (43711422720).

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

12797568000 is an equidigital number, since it uses as much as digits as its factorization.

12797568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 12797568000 in words is "twelve billion, seven hundred ninety-seven million, five hundred sixty-eight thousand".