27971395424 has 96 divisors (see below), whose sum is σ = 64727308800. Its totient is φ = 11649318912.

The previous prime is 27971395411. The next prime is 27971395447. The reversal of 27971395424 is 42459317972.

It is a congruent number.

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, 1909472 + ... + 1924064.

It is an arithmetic number, because the mean of its divisors is an integer number (674242800).

Almost surely, 2^27971395424 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 27971395424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32363654400).

27971395424 is an abundant number, since it is smaller than the sum of its proper divisors (36755913376).

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

27971395424 is a wasteful number, since it uses less digits than its factorization.

27971395424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14852 (or 14844 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 53.

The spelling of 27971395424 in words is "twenty-seven billion, nine hundred seventy-one million, three hundred ninety-five thousand, four hundred twenty-four".