27438266025 has 81 divisors (see below), whose sum is σ = 51157661061. Its totient is φ = 14597962560.

The previous prime is 27438266003. The next prime is 27438266059. The reversal of 27438266025 is 52066283472.

The square root of 27438266025 is 165645.

It is a perfect power (a square), and thus also a powerful number.

27438266025 is a `hidden beast` number, since 2 + 7 + 4 + 38 + 2 + 6 + 602 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3150913689 + 24287352336 = 56133^2 + 155844^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 27438266025 - 2⁵ = 27438265993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 67086021 + ... + 67086429.

Almost surely, 2^27438266025 is an apocalyptic number.

27438266025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27438266025 is the 165645-th square number.

27438266025 is the 82823-rd centered octagonal number.

It is an amenable number.

27438266025 is a deficient number, since it is larger than the sum of its proper divisors (23719395036).

27438266025 is an frugal number, since it uses more digits than its factorization.

27438266025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 27438266025 in words is "twenty-seven billion, four hundred thirty-eight million, two hundred sixty-six thousand, twenty-five".