27061314072 has 128 divisors (see below), whose sum is σ = 76797504000. Its totient is φ = 7877468160.

The previous prime is 27061314067. The next prime is 27061314073. The reversal of 27061314072 is 27041316072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27061314073) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4970872 + ... + 4976312.

It is an arithmetic number, because the mean of its divisors is an integer number (599980500).

Almost surely, 2^27061314072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27061314072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38398752000).

27061314072 is an abundant number, since it is smaller than the sum of its proper divisors (49736189928).

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

27061314072 is a wasteful number, since it uses less digits than its factorization.

27061314072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6321 (or 6317 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 27061314072 in words is "twenty-seven billion, sixty-one million, three hundred fourteen thousand, seventy-two".