27825488801 has 16 divisors (see below), whose sum is σ = 30838311168. Its totient is φ = 24893946000.

The previous prime is 27825488791. The next prime is 27825488861. The reversal of 27825488801 is 10888452872.

It is a de Polignac number, because none of the positive numbers 2^k-27825488801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27825488861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 756626 + ... + 792548.

It is an arithmetic number, because the mean of its divisors is an integer number (1927394448).

Almost surely, 2^27825488801 is an apocalyptic number.

It is an amenable number.

27825488801 is a deficient number, since it is larger than the sum of its proper divisors (3012822367).

27825488801 is a wasteful number, since it uses less digits than its factorization.

27825488801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37052.

The product of its (nonzero) digits is 2293760, while the sum is 53.

The spelling of 27825488801 in words is "twenty-seven billion, eight hundred twenty-five million, four hundred eighty-eight thousand, eight hundred one".