27538074916 has 81 divisors (see below), whose sum is σ = 56046820977. Its totient is φ = 11828630880.

The previous prime is 27538074913. The next prime is 27538074923. The reversal of 27538074916 is 61947083572.

The square root of 27538074916 is 165946.

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

It can be written as a sum of positive squares in only one way, i.e., 18455222500 + 9082852416 = 135850^2 + 95304^2 .

It is not an unprimeable number, because it can be changed into a prime (27538074913) 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 26 ways as a sum of consecutive naturals, for example, 69365230 + ... + 69365626.

It is a 2-persistent number, because it is pandigital, and so is 2⋅27538074916 = 55076149832, but 3⋅27538074916 = 82614224748 is not.

Almost surely, 2^27538074916 is an apocalyptic number.

27538074916 is the 165946-th square number.

It is an amenable number.

27538074916 is an abundant number, since it is smaller than the sum of its proper divisors (28508746061).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27538074916 is a wasteful number, since it uses less digits than its factorization.

27538074916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 27538074916 in words is "twenty-seven billion, five hundred thirty-eight million, seventy-four thousand, nine hundred sixteen".