27108142076304 has 135 divisors (see below), whose sum is σ = 76447088505697. Its totient is φ = 8967258446592.

The previous prime is 27108142076287. The next prime is 27108142076369. The reversal of 27108142076304 is 40367024180172.

The square root of 27108142076304 is 5206548.

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

27108142076304 is a `hidden beast` number, since 2 + 7 + 1 + 0 + 8 + 1 + 4 + 2 + 0 + 7 + 630 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15923451776400 + 11184690299904 = 3990420^2 + 3344352^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27108142076304.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8559563329 + ... + 8559566495.

Almost surely, 2^{27108142076304} is an apocalyptic number.

27108142076304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

27108142076304 is the 5206548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27108142076304

27108142076304 is an abundant number, since it is smaller than the sum of its proper divisors (49338946429393).

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

27108142076304 is an frugal number, since it uses more digits than its factorization.

27108142076304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6622 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 27108142076304 in words is "twenty-seven trillion, one hundred eight billion, one hundred forty-two million, seventy-six thousand, three hundred four".