27779386410048 has 112 divisors (see below), whose sum is σ = 90461078879360. Its totient is φ = 7326431576064.

The previous prime is 27779386410047. The next prime is 27779386410091. The reversal of 27779386410048 is 84001468397772.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (27779386410047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 794951233 + ... + 794986176.

It is an arithmetic number, because the mean of its divisors is an integer number (807688204280).

Almost surely, 2^{27779386410048} is an apocalyptic number.

27779386410048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27779386410048 is an abundant number, since it is smaller than the sum of its proper divisors (62681692469312).

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

27779386410048 is a wasteful number, since it uses less digits than its factorization.

27779386410048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589937444 (or 1589937434 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 66.

The spelling of 27779386410048 in words is "twenty-seven trillion, seven hundred seventy-nine billion, three hundred eighty-six million, four hundred ten thousand, forty-eight".