27865456872 has 96 divisors (see below), whose sum is σ = 78642261600. Its totient is φ = 8215827840.

The previous prime is 27865456831. The next prime is 27865456877.

27865456872 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (27865456877) 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 23 ways as a sum of consecutive naturals, for example, 22222 + ... + 237117.

It is an arithmetic number, because the mean of its divisors is an integer number (819190225).

Almost surely, 2^27865456872 is an apocalyptic number.

27865456872 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 27865456872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39321130800).

27865456872 is an abundant number, since it is smaller than the sum of its proper divisors (50776804728).

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

27865456872 is a wasteful number, since it uses less digits than its factorization.

27865456872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259407 (or 259392 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 60.

The spelling of 27865456872 in words is "twenty-seven billion, eight hundred sixty-five million, four hundred fifty-six thousand, eight hundred seventy-two".