10566664876800 has 378 divisors, whose sum is σ = 39213298859252. Its totient is φ = 2817776056320.

The previous prime is 10566664876721. The next prime is 10566664876813. The reversal of 10566664876800 is 867846666501.

It is a super-2 number, since 2×10566664876800² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 3533199 + ... + 5798001.

Almost surely, 2^{10566664876800} is an apocalyptic number.

10566664876800 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 10566664876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19606649429626).

10566664876800 is an abundant number, since it is smaller than the sum of its proper divisors (28646633982452).

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

10566664876800 is an frugal number, since it uses more digits than its factorization.

10566664876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264847 (or 2264813 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 10566664876800 in words is "ten trillion, five hundred sixty-six billion, six hundred sixty-four million, eight hundred seventy-six thousand, eight hundred".