27386989733376 has 960 divisors, whose sum is σ = 102243440376000. Its totient is φ = 7174122504192.

The previous prime is 27386989733371. The next prime is 27386989733393. The reversal of 27386989733376 is 67333798968372.

27386989733376 is a `hidden beast` number, since 2 + 7 + 386 + 98 + 97 + 33 + 37 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 27386989733295 and 27386989733304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27386989733371) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1312066876 + ... + 1312087748.

It is an arithmetic number, because the mean of its divisors is an integer number (106503583725).

Almost surely, 2^{27386989733376} is an apocalyptic number.

27386989733376 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 27386989733376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51121720188000).

27386989733376 is an abundant number, since it is smaller than the sum of its proper divisors (74856450642624).

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

27386989733376 is a wasteful number, since it uses less digits than its factorization.

27386989733376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21076 (or 21047 counting only the distinct ones).

The product of its digits is 10369949184, while the sum is 81.

The spelling of 27386989733376 in words is "twenty-seven trillion, three hundred eighty-six billion, nine hundred eighty-nine million, seven hundred thirty-three thousand, three hundred seventy-six".