27870332072 has 64 divisors (see below), whose sum is σ = 57432291840. Its totient is φ = 12574168000.

The previous prime is 27870332059. The next prime is 27870332089. The reversal of 27870332072 is 27023307872.

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 15 ways as a sum of consecutive naturals, for example, 19206947 + ... + 19208397.

It is an arithmetic number, because the mean of its divisors is an integer number (897379560).

Almost surely, 2^27870332072 is an apocalyptic number.

27870332072 is a gapful number since it is divisible by the number (22) 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 27870332072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28716145920).

27870332072 is an abundant number, since it is smaller than the sum of its proper divisors (29561959768).

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

27870332072 is a wasteful number, since it uses less digits than its factorization.

27870332072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 41.

The spelling of 27870332072 in words is "twenty-seven billion, eight hundred seventy million, three hundred thirty-two thousand, seventy-two".