27666530400 has 144 divisors (see below), whose sum is σ = 90120888144. Its totient is φ = 7372308480.

The previous prime is 27666530389. The next prime is 27666530407. The reversal of 27666530400 is 403566672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27666530407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4069404 + ... + 4076196.

It is an arithmetic number, because the mean of its divisors is an integer number (625839501).

Almost surely, 2^27666530400 is an apocalyptic number.

27666530400 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 27666530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45060444072).

27666530400 is an abundant number, since it is smaller than the sum of its proper divisors (62454357744).

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

27666530400 is a wasteful number, since it uses less digits than its factorization.

27666530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8513 (or 8500 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 27666530400 in words is "twenty-seven billion, six hundred sixty-six million, five hundred thirty thousand, four hundred".