27388005996816 has 120 divisors (see below), whose sum is σ = 77608834781400. Its totient is φ = 9015646844928.

The previous prime is 27388005996779. The next prime is 27388005996823. The reversal of 27388005996816 is 61869950088372.

27388005996816 is a `hidden beast` number, since 27 + 3 + 8 + 8 + 0 + 0 + 599 + 6 + 8 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 213721290000 + 27174284706816 = 462300^2 + 5212896^2 .

It is a super-3 number, since 3×27388005996816³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 23 ways as a sum of consecutive naturals, for example, 22660 + ... + 7401116.

It is an arithmetic number, because the mean of its divisors is an integer number (646740289845).

Almost surely, 2^{27388005996816} 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 27388005996816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38804417390700).

27388005996816 is an abundant number, since it is smaller than the sum of its proper divisors (50220828784584).

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

27388005996816 is a wasteful number, since it uses less digits than its factorization.

27388005996816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7378793 (or 7378784 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 27388005996816 in words is "twenty-seven trillion, three hundred eighty-eight billion, five million, nine hundred ninety-six thousand, eight hundred sixteen".