27161267130 has 96 divisors (see below), whose sum is σ = 72527848848. Its totient is φ = 7048166400.

The previous prime is 27161267101. The next prime is 27161267141. The reversal of 27161267130 is 3176216172.

It is a happy number.

27161267130 is a `hidden beast` number, since 2 + 7 + 1 + 612 + 6 + 7 + 1 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6337911321 + 20823355809 = 79611^2 + 144303^2 .

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 47 ways as a sum of consecutive naturals, for example, 1455660 + ... + 1474200.

Almost surely, 2^27161267130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27161267130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36263924424).

27161267130 is an abundant number, since it is smaller than the sum of its proper divisors (45366581718).

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

27161267130 is a wasteful number, since it uses less digits than its factorization.

27161267130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18992 (or 18989 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 27161267130 in words is "twenty-seven billion, one hundred sixty-one million, two hundred sixty-seven thousand, one hundred thirty".