27385461204544 has 63 divisors (see below), whose sum is σ = 54684341227873. Its totient is φ = 13607263417088.

The previous prime is 27385461204539. The next prime is 27385461204547. The reversal of 27385461204544 is 44540216458372.

The square root of 27385461204544 is 5233112.

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., 22178448360000 + 5207012844544 = 4709400^2 + 2281888^2 .

It is a super-2 number, since 2×27385461204544² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27385461204547) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6991435674 + ... + 6991439590.

Almost surely, 2^{27385461204544} is an apocalyptic number.

27385461204544 is the 5233112-nd square number.

It is an amenable number.

27385461204544 is a deficient number, since it is larger than the sum of its proper divisors (27298880023329).

27385461204544 is an frugal number, since it uses more digits than its factorization.

27385461204544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8180 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 55.

The spelling of 27385461204544 in words is "twenty-seven trillion, three hundred eighty-five billion, four hundred sixty-one million, two hundred four thousand, five hundred forty-four".