27438706423296 has 600 divisors, whose sum is σ = 94054349813424. Its totient is φ = 7801500303360.

The previous prime is 27438706423273. The next prime is 27438706423313. The reversal of 27438706423296 is 69232460783472.

27438706423296 is a `hidden beast` number, since 2 + 7 + 43 + 87 + 0 + 6 + 423 + 2 + 96 = 666.

It is a super-2 number, since 2×27438706423296² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15760312986 + ... + 15760314726.

Almost surely, 2^{27438706423296} 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 27438706423296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47027174906712).

27438706423296 is an abundant number, since it is smaller than the sum of its proper divisors (66615643390128).

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

27438706423296 is an frugal number, since it uses more digits than its factorization.

27438706423296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 27438706423296 in words is "twenty-seven trillion, four hundred thirty-eight billion, seven hundred six million, four hundred twenty-three thousand, two hundred ninety-six".