27011968868416 has 63 divisors (see below), whose sum is σ = 62353874223549. Its totient is φ = 11576433351168.

The previous prime is 27011968868387. The next prime is 27011968868441. The reversal of 27011968868416 is 61486886911072.

The square root of 27011968868416 is 5197304.

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., 23840720228416 + 3171248640000 = 4882696^2 + 1780800^2 .

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 8 ways as a sum of consecutive naturals, for example, 291002620 + ... + 291095428.

Almost surely, 2^{27011968868416} is an apocalyptic number.

27011968868416 is the 5197304-th square number.

It is an amenable number.

27011968868416 is an abundant number, since it is smaller than the sum of its proper divisors (35341905355133).

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

27011968868416 is an frugal number, since it uses more digits than its factorization.

27011968868416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185644 (or 92818 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 67.

The spelling of 27011968868416 in words is "twenty-seven trillion, eleven billion, nine hundred sixty-eight million, eight hundred sixty-eight thousand, four hundred sixteen".