10566688204800 has 4608 divisors, whose sum is σ = 52044118963200. Its totient is φ = 2063912140800.

The previous prime is 10566688204727. The next prime is 10566688204841. The reversal of 10566688204800 is 840288666501.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×10566688204800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 173224396770 + ... + 173224396830.

It is an arithmetic number, because the mean of its divisors is an integer number (11294296650).

Almost surely, 2^{10566688204800} is an apocalyptic number.

10566688204800 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 10566688204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26022059481600).

10566688204800 is an abundant number, since it is smaller than the sum of its proper divisors (41477430758400).

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

10566688204800 is an equidigital number, since it uses as much as digits as its factorization.

10566688204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 10566688204800 in words is "ten trillion, five hundred sixty-six billion, six hundred eighty-eight million, two hundred four thousand, eight hundred".