27505028000 has 48 divisors (see below), whose sum is σ = 67579863624. Its totient is φ = 11002009600.

The previous prime is 27505027997. The next prime is 27505028003. The reversal of 27505028000 is 82050572.

It is an interprime number because it is at equal distance from previous prime (27505027997) and next prime (27505028003).

It can be written as a sum of positive squares in 4 ways, for example, as 3506060944 + 23998967056 = 59212^2 + 154916^2 .

It is not an unprimeable number, because it can be changed into a prime (27505028003) 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 7 ways as a sum of consecutive naturals, for example, 3434129 + ... + 3442128.

Almost surely, 2^27505028000 is an apocalyptic number.

27505028000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27505028000 is an abundant number, since it is smaller than the sum of its proper divisors (40074835624).

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

27505028000 is an equidigital number, since it uses as much as digits as its factorization.

27505028000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6876282 (or 6876264 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

Adding to 27505028000 its reverse (82050572), we get a palindrome (27587078572).

The spelling of 27505028000 in words is "twenty-seven billion, five hundred five million, twenty-eight thousand".