27755975772 has 144 divisors (see below), whose sum is σ = 82005460992. Its totient is φ = 7750609920.

The previous prime is 27755975761. The next prime is 27755975773. The reversal of 27755975772 is 27757955772.

It is a happy number.

27755975772 is a `hidden beast` number, since 2 + 7 + 7 + 5 + 59 + 7 + 577 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27755975773) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12210028 + ... + 12212300.

It is an arithmetic number, because the mean of its divisors is an integer number (569482368).

Almost surely, 2^27755975772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27755975772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41002730496).

27755975772 is an abundant number, since it is smaller than the sum of its proper divisors (54249485220).

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

27755975772 is a wasteful number, since it uses less digits than its factorization.

27755975772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368 (or 3363 counting only the distinct ones).

The product of its digits is 75631500, while the sum is 63.

The spelling of 27755975772 in words is "twenty-seven billion, seven hundred fifty-five million, nine hundred seventy-five thousand, seven hundred seventy-two".