27161464440725 has 24 divisors (see below), whose sum is σ = 33942744686760. Its totient is φ = 21560445861120.

The previous prime is 27161464440679. The next prime is 27161464440809. The reversal of 27161464440725 is 52704446416172.

It can be written as a sum of positive squares in 12 ways, for example, as 216789878449 + 26944674562276 = 465607^2 + 5190826^2 .

It is not a de Polignac number, because 27161464440725 - 2¹⁶ = 27161464375189 is a prime.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6418754 + ... + 9773603.

It is an arithmetic number, because the mean of its divisors is an integer number (1414281028615).

Almost surely, 2^{27161464440725} is an apocalyptic number.

27161464440725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27161464440725 is a deficient number, since it is larger than the sum of its proper divisors (6781280246035).

27161464440725 is a wasteful number, since it uses less digits than its factorization.

27161464440725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16192889 (or 16192884 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 53.

The spelling of 27161464440725 in words is "twenty-seven trillion, one hundred sixty-one billion, four hundred sixty-four million, four hundred forty thousand, seven hundred twenty-five".