27780016416 has 48 divisors (see below), whose sum is σ = 74701152288. Its totient is φ = 9034150400.

The previous prime is 27780016403. The next prime is 27780016417. The reversal of 27780016416 is 61461008772.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (27780016417) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3525030 + ... + 3532901.

It is an arithmetic number, because the mean of its divisors is an integer number (1556274006).

Almost surely, 2^27780016416 is an apocalyptic number.

It is an amenable number.

27780016416 is an abundant number, since it is smaller than the sum of its proper divisors (46921135872).

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

27780016416 is a wasteful number, since it uses less digits than its factorization.

27780016416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7057985 (or 7057977 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 27780016416 in words is "twenty-seven billion, seven hundred eighty million, sixteen thousand, four hundred sixteen".