27555279360 has 480 divisors, whose sum is σ = 105295671360. Its totient is φ = 6125027328.

The previous prime is 27555279319. The next prime is 27555279361. The reversal of 27555279360 is 6397255572.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (27555279361) 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, 13922851 + ... + 13924829.

It is an arithmetic number, because the mean of its divisors is an integer number (219365982).

Almost surely, 2^27555279360 is an apocalyptic number.

27555279360 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 27555279360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52647835680).

27555279360 is an abundant number, since it is smaller than the sum of its proper divisors (77740392000).

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

27555279360 is a wasteful number, since it uses less digits than its factorization.

27555279360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 3969000, while the sum is 51.

The spelling of 27555279360 in words is "twenty-seven billion, five hundred fifty-five million, two hundred seventy-nine thousand, three hundred sixty".