27536927315456 has 160 divisors (see below), whose sum is σ = 59759968950528. Its totient is φ = 12600802713600.

The previous prime is 27536927315369. The next prime is 27536927315459. The reversal of 27536927315456 is 65451372963572.

It is a junction number, because it is equal to n+sod(n) for n = 27536927315392 and 27536927315401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27536927315459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525618095 + ... + 525670481.

Almost surely, 2^{27536927315456} is an apocalyptic number.

27536927315456 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 27536927315456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29879984475264).

27536927315456 is an abundant number, since it is smaller than the sum of its proper divisors (32223041635072).

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

27536927315456 is a wasteful number, since it uses less digits than its factorization.

27536927315456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53092 (or 53076 counting only the distinct ones).

The product of its digits is 285768000, while the sum is 65.

The spelling of 27536927315456 in words is "twenty-seven trillion, five hundred thirty-six billion, nine hundred twenty-seven million, three hundred fifteen thousand, four hundred fifty-six".