27255548160 has 432 divisors, whose sum is σ = 97801966080. Its totient is φ = 7003422720.

The previous prime is 27255548141. The next prime is 27255548167. The reversal of 27255548160 is 6184555272.

27255548160 is a `hidden beast` number, since 27 + 25 + 5 + 548 + 1 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (27255548167) 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 47 ways as a sum of consecutive naturals, for example, 38441886 + ... + 38442594.

It is an arithmetic number, because the mean of its divisors is an integer number (226393440).

Almost surely, 2^27255548160 is an apocalyptic number.

27255548160 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 27255548160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48900983040).

27255548160 is an abundant number, since it is smaller than the sum of its proper divisors (70546417920).

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

27255548160 is a wasteful number, since it uses less digits than its factorization.

27255548160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 27255548160 in words is "twenty-seven billion, two hundred fifty-five million, five hundred forty-eight thousand, one hundred sixty".