27931323144 has 128 divisors (see below), whose sum is σ = 74294599680. Its totient is φ = 8736115200.

The previous prime is 27931323143. The next prime is 27931323149. The reversal of 27931323144 is 44132313972.

It is not an unprimeable number, because it can be changed into a prime (27931323143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5091427 + ... + 5096909.

It is an arithmetic number, because the mean of its divisors is an integer number (580426560).

Almost surely, 2^27931323144 is an apocalyptic number.

27931323144 is a gapful number since it is divisible by the number (24) 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 27931323144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37147299840).

27931323144 is an abundant number, since it is smaller than the sum of its proper divisors (46363276536).

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

27931323144 is a wasteful number, since it uses less digits than its factorization.

27931323144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5731 (or 5727 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The spelling of 27931323144 in words is "twenty-seven billion, nine hundred thirty-one million, three hundred twenty-three thousand, one hundred forty-four".