27557464452768 has 120 divisors (see below), whose sum is σ = 81154822196448. Its totient is φ = 9173457691776.

The previous prime is 27557464452703. The next prime is 27557464452799. The reversal of 27557464452768 is 86725446475572.

27557464452768 is a `hidden beast` number, since 2 + 7 + 5 + 57 + 4 + 6 + 44 + 527 + 6 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 27557464452696 and 27557464452705.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 5228746 + ... + 9080457.

Almost surely, 2^{27557464452768} is an apocalyptic number.

It is an amenable number.

27557464452768 is an abundant number, since it is smaller than the sum of its proper divisors (53597357743680).

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

27557464452768 is a wasteful number, since it uses less digits than its factorization.

27557464452768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14309968 (or 14309951 counting only the distinct ones).

The product of its digits is 3161088000, while the sum is 72.

The spelling of 27557464452768 in words is "twenty-seven trillion, five hundred fifty-seven billion, four hundred sixty-four million, four hundred fifty-two thousand, seven hundred sixty-eight".