27166468665700 has 432 divisors, whose sum is σ = 77072709947520. Its totient is φ = 8115635773440.

The previous prime is 27166468665653. The next prime is 27166468665701. The reversal of 27166468665700 is 756686466172.

It is not an unprimeable number, because it can be changed into a prime (27166468665701) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 622591084 + ... + 622634716.

Almost surely, 2^{27166468665700} is an apocalyptic number.

27166468665700 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 27166468665700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38536354973760).

27166468665700 is an abundant number, since it is smaller than the sum of its proper divisors (49906241281820).

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

27166468665700 is a wasteful number, since it uses less digits than its factorization.

27166468665700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43976 (or 43956 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 64.

The spelling of 27166468665700 in words is "twenty-seven trillion, one hundred sixty-six billion, four hundred sixty-eight million, six hundred sixty-five thousand, seven hundred".