27564520601345 has 64 divisors (see below), whose sum is σ = 41675392249344. Its totient is φ = 17037103749120.

The previous prime is 27564520601329. The next prime is 27564520601347. The reversal of 27564520601345 is 54310602546572.

It is not a de Polignac number, because 27564520601345 - 2⁴ = 27564520601329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27564520601293 and 27564520601302.

It is not an unprimeable number, because it can be changed into a prime (27564520601347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2379629 + ... + 7796901.

It is an arithmetic number, because the mean of its divisors is an integer number (651178003896).

Almost surely, 2^{27564520601345} is an apocalyptic number.

It is an amenable number.

27564520601345 is a deficient number, since it is larger than the sum of its proper divisors (14110871647999).

27564520601345 is a wasteful number, since it uses less digits than its factorization.

27564520601345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5417562.

The product of its (nonzero) digits is 6048000, while the sum is 50.

The spelling of 27564520601345 in words is "twenty-seven trillion, five hundred sixty-four billion, five hundred twenty million, six hundred one thousand, three hundred forty-five".