27540685783296 has 648 divisors, whose sum is σ = 97928139289344. Its totient is φ = 7409092239360.

The previous prime is 27540685783241. The next prime is 27540685783379. The reversal of 27540685783296 is 69238758604572.

27540685783296 is a `hidden beast` number, since 2 + 7 + 5 + 40 + 6 + 8 + 578 + 3 + 2 + 9 + 6 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 129385371 + ... + 129598053.

Almost surely, 2^{27540685783296} 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 27540685783296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48964069644672).

27540685783296 is an abundant number, since it is smaller than the sum of its proper divisors (70387453506048).

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

27540685783296 is a wasteful number, since it uses less digits than its factorization.

27540685783296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212787 (or 212763 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 72.

The spelling of 27540685783296 in words is "twenty-seven trillion, five hundred forty billion, six hundred eighty-five million, seven hundred eighty-three thousand, two hundred ninety-six".