27559706148 has 72 divisors (see below), whose sum is σ = 75294842168. Its totient is φ = 8449256448.

The previous prime is 27559706147. The next prime is 27559706171. The reversal of 27559706148 is 84160795572.

27559706148 is a `hidden beast` number, since 2 + 7 + 5 + 597 + 0 + 6 + 1 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 80676324 + 27479029824 = 8982^2 + 165768^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27559706094 and 27559706103.

It is not an unprimeable number, because it can be changed into a prime (27559706143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23340 + ... + 235932.

Almost surely, 2^27559706148 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 27559706148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37647421084).

27559706148 is an abundant number, since it is smaller than the sum of its proper divisors (47735136020).

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

27559706148 is a wasteful number, since it uses less digits than its factorization.

27559706148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212893 (or 212888 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 27559706148 in words is "twenty-seven billion, five hundred fifty-nine million, seven hundred six thousand, one hundred forty-eight".