27663960122961 has 8 divisors (see below), whose sum is σ = 36941251760160. Its totient is φ = 18414654283872.

The previous prime is 27663960122867. The next prime is 27663960122993. The reversal of 27663960122961 is 16922106936672.

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

It is not a de Polignac number, because 27663960122961 - 2⁷ = 27663960122833 is a prime.

It is a super-3 number, since 3×27663960122961³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27663960122895 and 27663960122904.

It is not an unprimeable number, because it can be changed into a prime (27663960122761) 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, 6996447220 + ... + 6996451173.

It is an arithmetic number, because the mean of its divisors is an integer number (4617656470020).

Almost surely, 2^{27663960122961} is an apocalyptic number.

It is an amenable number.

27663960122961 is a deficient number, since it is larger than the sum of its proper divisors (9277291637199).

27663960122961 is a wasteful number, since it uses less digits than its factorization.

27663960122961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13992899055.

The product of its (nonzero) digits is 17635968, while the sum is 60.

The spelling of 27663960122961 in words is "twenty-seven trillion, six hundred sixty-three billion, nine hundred sixty million, one hundred twenty-two thousand, nine hundred sixty-one".