27959438416 has 180 divisors, whose sum is σ = 72255662172. Its totient is φ = 10409398272.

The previous prime is 27959438393. The next prime is 27959438431. The reversal of 27959438416 is 61483495972.

It can be written as a sum of positive squares in 6 ways, for example, as 3214890000 + 24744548416 = 56700^2 + 157304^2 .

It is a super-4 number, since 4×27959438416⁴ (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2246226 + ... + 2258638.

Almost surely, 2^27959438416 is an apocalyptic number.

27959438416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27959438416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36127831086).

27959438416 is an abundant number, since it is smaller than the sum of its proper divisors (44296223756).

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

27959438416 is a wasteful number, since it uses less digits than its factorization.

27959438416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12478 (or 12452 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 58.

The spelling of 27959438416 in words is "twenty-seven billion, nine hundred fifty-nine million, four hundred thirty-eight thousand, four hundred sixteen".