27755609472 has 128 divisors (see below), whose sum is σ = 82003471200. Its totient is φ = 9242173440.

The previous prime is 27755609437. The next prime is 27755609473. The reversal of 27755609472 is 27490655772.

It is a happy number.

27755609472 is a `hidden beast` number, since 2 + 7 + 7 + 5 + 560 + 9 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×27755609472² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27755609473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3787572 + ... + 3794892.

Almost surely, 2^27755609472 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 27755609472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41001735600).

27755609472 is an abundant number, since it is smaller than the sum of its proper divisors (54247861728).

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

27755609472 is a wasteful number, since it uses less digits than its factorization.

27755609472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8441 (or 8423 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 27755609472 in words is "twenty-seven billion, seven hundred fifty-five million, six hundred nine thousand, four hundred seventy-two".