27014044216320 has 2464 divisors, whose sum is σ = 116333268577920. Its totient is φ = 5885971660800.

The previous prime is 27014044216267. The next prime is 27014044216339. The reversal of 27014044216320 is 2361244041072.

27014044216320 is a `hidden beast` number, since 2 + 7 + 0 + 1 + 404 + 4 + 216 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 76527037264 + ... + 76527037616.

Almost surely, 2^{27014044216320} is an apocalyptic number.

27014044216320 is a gapful number since it is divisible by the number (20) 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 27014044216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58166634288960).

27014044216320 is an abundant number, since it is smaller than the sum of its proper divisors (89319224361600).

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

27014044216320 is a wasteful number, since it uses less digits than its factorization.

27014044216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 27014044216320 its reverse (2361244041072), we get a palindrome (29375288257392).

The spelling of 27014044216320 in words is "twenty-seven trillion, fourteen billion, forty-four million, two hundred sixteen thousand, three hundred twenty".