27124755072 has 128 divisors (see below), whose sum is σ = 77692910400. Its totient is φ = 8356700160.

The previous prime is 27124755041. The next prime is 27124755089. The reversal of 27124755072 is 27055742172.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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, 253798 + ... + 344474.

Almost surely, 2^27124755072 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 27124755072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38846455200).

27124755072 is an abundant number, since it is smaller than the sum of its proper divisors (50568155328).

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

27124755072 is a wasteful number, since it uses less digits than its factorization.

27124755072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90754 (or 90742 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 42.

The spelling of 27124755072 in words is "twenty-seven billion, one hundred twenty-four million, seven hundred fifty-five thousand, seventy-two".