27666330321600 has 840 divisors, whose sum is σ = 105637590614160. Its totient is φ = 7123049902080.

The previous prime is 27666330321533. The next prime is 27666330321659. The reversal of 27666330321600 is 612303366672.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 913276054 + ... + 913306346.

Almost surely, 2^{27666330321600} is an apocalyptic number.

27666330321600 is a gapful number since it is divisible by the number (20) 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 27666330321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52818795307080).

27666330321600 is an abundant number, since it is smaller than the sum of its proper divisors (77971260292560).

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

27666330321600 is an frugal number, since it uses more digits than its factorization.

27666330321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30371 (or 30332 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 27666330321600 in words is "twenty-seven trillion, six hundred sixty-six billion, three hundred thirty million, three hundred twenty-one thousand, six hundred".