27106451160 has 128 divisors (see below), whose sum is σ = 82071360000. Its totient is φ = 7161762816.

The previous prime is 27106451149. The next prime is 27106451161. The reversal of 27106451160 is 6115460172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27106451161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9989964 + ... + 9992676.

It is an arithmetic number, because the mean of its divisors is an integer number (641182500).

Almost surely, 2^27106451160 is an apocalyptic number.

27106451160 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 27106451160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41035680000).

27106451160 is an abundant number, since it is smaller than the sum of its proper divisors (54964908840).

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

27106451160 is a wasteful number, since it uses less digits than its factorization.

27106451160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 27106451160 in words is "twenty-seven billion, one hundred six million, four hundred fifty-one thousand, one hundred sixty".