27008055984 has 320 divisors, whose sum is σ = 88144358400. Its totient is φ = 7080837120.

The previous prime is 27008055973. The next prime is 27008056001. The reversal of 27008055984 is 48955080072.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 55005979 + ... + 55006469.

It is an arithmetic number, because the mean of its divisors is an integer number (275451120).

Almost surely, 2^27008055984 is an apocalyptic number.

27008055984 is a gapful number since it is divisible by the number (24) 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 27008055984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44072179200).

27008055984 is an abundant number, since it is smaller than the sum of its proper divisors (61136302416).

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

27008055984 is a wasteful number, since it uses less digits than its factorization.

27008055984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 27008055984 in words is "twenty-seven billion, eight million, fifty-five thousand, nine hundred eighty-four".