27666055340 has 192 divisors, whose sum is σ = 77462396928. Its totient is φ = 8034816000.

The previous prime is 27666055331. The next prime is 27666055367. The reversal of 27666055340 is 4355066672.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 27666055291 and 27666055300.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2638949 + ... + 2649411.

It is an arithmetic number, because the mean of its divisors is an integer number (403449984).

Almost surely, 2^27666055340 is an apocalyptic number.

27666055340 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 27666055340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38731198464).

27666055340 is an abundant number, since it is smaller than the sum of its proper divisors (49796341588).

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

27666055340 is a wasteful number, since it uses less digits than its factorization.

27666055340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10608 (or 10606 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 44.

The spelling of 27666055340 in words is "twenty-seven billion, six hundred sixty-six million, fifty-five thousand, three hundred forty".