27931111968 has 96 divisors (see below), whose sum is σ = 75901613760. Its totient is φ = 8982901760.

The previous prime is 27931111951. The next prime is 27931111969. The reversal of 27931111968 is 86911113972.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (27931111969) 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 15 ways as a sum of consecutive naturals, for example, 5306458 + ... + 5311718.

It is an arithmetic number, because the mean of its divisors is an integer number (790641810).

Almost surely, 2^27931111968 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 27931111968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37950806880).

27931111968 is an abundant number, since it is smaller than the sum of its proper divisors (47970501792).

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

27931111968 is a wasteful number, since it uses less digits than its factorization.

27931111968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7210 (or 7202 counting only the distinct ones).

The product of its digits is 163296, while the sum is 48.

The spelling of 27931111968 in words is "twenty-seven billion, nine hundred thirty-one million, one hundred eleven thousand, nine hundred sixty-eight".