27119124960 has 192 divisors, whose sum is σ = 88940980800. Its totient is φ = 6937362432.

The previous prime is 27119124937. The next prime is 27119125013. The reversal of 27119124960 is 6942191172.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2179236 + ... + 2191644.

It is an arithmetic number, because the mean of its divisors is an integer number (463234275).

Almost surely, 2^27119124960 is an apocalyptic number.

27119124960 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 27119124960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44470490400).

27119124960 is an abundant number, since it is smaller than the sum of its proper divisors (61821855840).

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

27119124960 is a wasteful number, since it uses less digits than its factorization.

27119124960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12613 (or 12605 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 27119124960 in words is "twenty-seven billion, one hundred nineteen million, one hundred twenty-four thousand, nine hundred sixty".