27658616601221 has 8 divisors (see below), whose sum is σ = 27949696080888. Its totient is φ = 27367875000000.

The previous prime is 27658616601197. The next prime is 27658616601223. The reversal of 27658616601221 is 12210661685672.

It can be written as a sum of positive squares in 4 ways, for example, as 19718839548100 + 7939777053121 = 4440590^2 + 2817761^2 .

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 27658616601221 - 2⁴² = 23260570090117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27658616601223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84305030 + ... + 84632471.

It is an arithmetic number, because the mean of its divisors is an integer number (3493712010111).

Almost surely, 2^{27658616601221} is an apocalyptic number.

It is an amenable number.

27658616601221 is a deficient number, since it is larger than the sum of its proper divisors (291079479667).

27658616601221 is a wasteful number, since it uses less digits than its factorization.

27658616601221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168939223.

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 27658616601221 in words is "twenty-seven trillion, six hundred fifty-eight billion, six hundred sixteen million, six hundred one thousand, two hundred twenty-one".