27906416811 has 64 divisors (see below), whose sum is σ = 50924160000. Its totient is φ = 14708107008.

The previous prime is 27906416809. The next prime is 27906416819. The reversal of 27906416811 is 11861460972.

It is not a de Polignac number, because 27906416811 - 2¹ = 27906416809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27906416819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3679255 + ... + 3686831.

It is an arithmetic number, because the mean of its divisors is an integer number (795690000).

Almost surely, 2^27906416811 is an apocalyptic number.

27906416811 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

27906416811 is a deficient number, since it is larger than the sum of its proper divisors (23017743189).

27906416811 is a wasteful number, since it uses less digits than its factorization.

27906416811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9105 (or 9099 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 27906416811 in words is "twenty-seven billion, nine hundred six million, four hundred sixteen thousand, eight hundred eleven".