27655557466752 has 768 divisors, whose sum is σ = 87664376217600. Its totient is φ = 8664180940800.

The previous prime is 27655557466751. The next prime is 27655557466769. The reversal of 27655557466752 is 25766475555672.

It is a happy number.

27655557466752 is a `hidden beast` number, since 2 + 7 + 6 + 5 + 5 + 557 + 4 + 6 + 67 + 5 + 2 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (27655557466751) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9448429513 + ... + 9448432439.

It is an arithmetic number, because the mean of its divisors is an integer number (114146323200).

Almost surely, 2^{27655557466752} 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 27655557466752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43832188108800).

27655557466752 is an abundant number, since it is smaller than the sum of its proper divisors (60008818750848).

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

27655557466752 is a wasteful number, since it uses less digits than its factorization.

27655557466752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3243 counting only the distinct ones).

The product of its digits is 3704400000, while the sum is 72.

The spelling of 27655557466752 in words is "twenty-seven trillion, six hundred fifty-five billion, five hundred fifty-seven million, four hundred sixty-six thousand, seven hundred fifty-two".