27875485516176 has 225 divisors, whose sum is σ = 85714713909649. Its totient is φ = 8744236651008.

The previous prime is 27875485516157. The next prime is 27875485516183. The reversal of 27875485516176 is 67161558457872.

The square root of 27875485516176 is 5279724.

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

27875485516176 is a `hidden beast` number, since 2 + 7 + 8 + 7 + 5 + 4 + 8 + 551 + 61 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21702367616400 + 6173117899776 = 4658580^2 + 2484576^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 3231186775 + ... + 3231195401.

Almost surely, 2^{27875485516176} is an apocalyptic number.

27875485516176 is the 5279724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27875485516176

27875485516176 is an abundant number, since it is smaller than the sum of its proper divisors (57839228393473).

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

27875485516176 is an frugal number, since it uses more digits than its factorization.

27875485516176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17308 (or 8649 counting only the distinct ones).

The product of its digits is 790272000, while the sum is 72.

The spelling of 27875485516176 in words is "twenty-seven trillion, eight hundred seventy-five billion, four hundred eighty-five million, five hundred sixteen thousand, one hundred seventy-six".