27834316524 has 144 divisors (see below), whose sum is σ = 84069619200. Its totient is φ = 7940836512.

The previous prime is 27834316501. The next prime is 27834316537. The reversal of 27834316524 is 42561343872.

27834316524 is a `hidden beast` number, since 2 + 7 + 83 + 43 + 1 + 6 + 524 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 27834316524.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3928417 + ... + 3935495.

It is an arithmetic number, because the mean of its divisors is an integer number (583816800).

Almost surely, 2^27834316524 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 27834316524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42034809600).

27834316524 is an abundant number, since it is smaller than the sum of its proper divisors (56235302676).

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

27834316524 is a wasteful number, since it uses less digits than its factorization.

27834316524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7849 (or 7834 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 27834316524 in words is "twenty-seven billion, eight hundred thirty-four million, three hundred sixteen thousand, five hundred twenty-four".