27439312380480 has 1344 divisors, whose sum is σ = 132229606699008. Its totient is φ = 5034242949120.

The previous prime is 27439312380479. The next prime is 27439312380497. The reversal of 27439312380480 is 8408321393472.

It is a happy number.

27439312380480 is a `hidden beast` number, since 2 + 7 + 4 + 39 + 3 + 123 + 8 + 0 + 480 = 666.

27439312380480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66099327 + ... + 66513153.

It is an arithmetic number, because the mean of its divisors is an integer number (98385124032).

Almost surely, 2^{27439312380480} is an apocalyptic number.

27439312380480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27439312380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66114803349504).

27439312380480 is an abundant number, since it is smaller than the sum of its proper divisors (104790294318528).

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

27439312380480 is a wasteful number, since it uses less digits than its factorization.

27439312380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413904 (or 413891 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 27439312380480 in words is "twenty-seven trillion, four hundred thirty-nine billion, three hundred twelve million, three hundred eighty thousand, four hundred eighty".