27480667508801 has 8 divisors (see below), whose sum is σ = 29608374915840. Its totient is φ = 25354932945552.

The previous prime is 27480667508761. The next prime is 27480667508809. The reversal of 27480667508801 is 10880576608472.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27480667508801 - 2¹⁸ = 27480667246657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27480667508809) 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 7 ways as a sum of consecutive naturals, for example, 493182011 + ... + 493237728.

It is an arithmetic number, because the mean of its divisors is an integer number (3701046864480).

Almost surely, 2^{27480667508801} is an apocalyptic number.

It is an amenable number.

27480667508801 is a deficient number, since it is larger than the sum of its proper divisors (2127707407039).

27480667508801 is a wasteful number, since it uses less digits than its factorization.

27480667508801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986421895.

The product of its (nonzero) digits is 36126720, while the sum is 62.

The spelling of 27480667508801 in words is "twenty-seven trillion, four hundred eighty billion, six hundred sixty-seven million, five hundred eight thousand, eight hundred one".