27130507740 has 672 divisors, whose sum is σ = 108940446720. Its totient is φ = 5522577408.

The previous prime is 27130507699. The next prime is 27130507793. The reversal of 27130507740 is 4770503172.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27130507695 and 27130507704.

It is a congruent number.

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 223 ways as a sum of consecutive naturals, for example, 32964969 + ... + 32965791.

It is an arithmetic number, because the mean of its divisors is an integer number (162113760).

Almost surely, 2^27130507740 is an apocalyptic number.

27130507740 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 27130507740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54470223360).

27130507740 is an abundant number, since it is smaller than the sum of its proper divisors (81809938980).

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

27130507740 is a wasteful number, since it uses less digits than its factorization.

27130507740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 27130507740 in words is "twenty-seven billion, one hundred thirty million, five hundred seven thousand, seven hundred forty".