27260461125 has 48 divisors (see below), whose sum is σ = 49299163056. Its totient is φ = 14492275200.

The previous prime is 27260461121. The next prime is 27260461127. The reversal of 27260461125 is 52116406272.

It is a happy number.

27260461125 is a `hidden beast` number, since 2 + 72 + 6 + 0 + 461 + 125 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18500624289 + 8759836836 = 136017^2 + 93594^2 .

It is not a de Polignac number, because 27260461125 - 2² = 27260461121 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 27260461125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27260461121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313417 + ... + 390833.

It is an arithmetic number, because the mean of its divisors is an integer number (1027065897).

Almost surely, 2^27260461125 is an apocalyptic number.

27260461125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27260461125 is a deficient number, since it is larger than the sum of its proper divisors (22038701931).

27260461125 is a wasteful number, since it uses less digits than its factorization.

27260461125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77751 (or 77738 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 27260461125 its reverse (52116406272), we get a palindrome (79376867397).

The spelling of 27260461125 in words is "twenty-seven billion, two hundred sixty million, four hundred sixty-one thousand, one hundred twenty-five".