27801500425 has 24 divisors (see below), whose sum is σ = 34741314360. Its totient is φ = 22069248000.

The previous prime is 27801500413. The next prime is 27801500429. The reversal of 27801500425 is 52400510872.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2046386169 + 25755114256 = 45237^2 + 160484^2 .

It is not a de Polignac number, because 27801500425 - 2⁵ = 27801500393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27801500429) 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 23 ways as a sum of consecutive naturals, for example, 1927641 + ... + 1942009.

It is an arithmetic number, because the mean of its divisors is an integer number (1447554765).

Almost surely, 2^27801500425 is an apocalyptic number.

27801500425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27801500425 is a deficient number, since it is larger than the sum of its proper divisors (6939813935).

27801500425 is a wasteful number, since it uses less digits than its factorization.

27801500425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14973 (or 14968 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 34.

The spelling of 27801500425 in words is "twenty-seven billion, eight hundred one million, five hundred thousand, four hundred twenty-five".