27875144448 has 216 divisors, whose sum is σ = 83261767680. Its totient is φ = 8959703040.

The previous prime is 27875144447. The next prime is 27875144503. The reversal of 27875144448 is 84444157872.

It is a happy number.

27875144448 is a `hidden beast` number, since 2 + 7 + 87 + 514 + 4 + 4 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 27875144394 and 27875144403.

It is not an unprimeable number, because it can be changed into a prime (27875144447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27354883 + ... + 27355901.

Almost surely, 2^27875144448 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 27875144448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41630883840).

27875144448 is an abundant number, since it is smaller than the sum of its proper divisors (55386623232).

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

27875144448 is a wasteful number, since it uses less digits than its factorization.

27875144448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1438 counting only the distinct ones).

The product of its digits is 8028160, while the sum is 54.

The spelling of 27875144448 in words is "twenty-seven billion, eight hundred seventy-five million, one hundred forty-four thousand, four hundred forty-eight".