27958242816 has 540 divisors, whose sum is σ = 99352147752. Its totient is φ = 7567644672.

The previous prime is 27958242803. The next prime is 27958242821. The reversal of 27958242816 is 61824285972.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

27958242816 is a `hidden beast` number, since 2 + 7 + 9 + 582 + 42 + 8 + 16 = 666.

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 1471486455 + ... + 1471486473.

Almost surely, 2^27958242816 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 27958242816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49676073876).

27958242816 is an abundant number, since it is smaller than the sum of its proper divisors (71393904936).

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

27958242816 is an frugal number, since it uses more digits than its factorization.

27958242816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 31 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 27958242816 in words is "twenty-seven billion, nine hundred fifty-eight million, two hundred forty-two thousand, eight hundred sixteen".