27885109248 has 408 divisors, whose sum is σ = 89312827968. Its totient is φ = 8663334912.

The previous prime is 27885109201. The next prime is 27885109271. The reversal of 27885109248 is 84290158872.

27885109248 is a `hidden beast` number, since 2 + 7 + 88 + 510 + 9 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (408).

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

It is a junction number, because it is equal to n+sod(n) for n = 27885109194 and 27885109203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270729165 + ... + 270729267.

Almost surely, 2^27885109248 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 27885109248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44656413984).

27885109248 is an abundant number, since it is smaller than the sum of its proper divisors (61427718720).

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

27885109248 is an frugal number, since it uses more digits than its factorization.

27885109248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 27885109248 in words is "twenty-seven billion, eight hundred eighty-five million, one hundred nine thousand, two hundred forty-eight".