27661517401733 has 8 divisors (see below), whose sum is σ = 27861248030616. Its totient is φ = 27462302208000.

The previous prime is 27661517401717. The next prime is 27661517401757. The reversal of 27661517401733 is 33710471516672.

It can be written as a sum of positive squares in 4 ways, for example, as 2710313567809 + 24951203833924 = 1646303^2 + 4995118^2 .

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 27661517401733 - 2⁴ = 27661517401717 is a prime.

It is a super-2 number, since 2×27661517401733² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27661517401333) 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, 128751068 + ... + 128965733.

It is an arithmetic number, because the mean of its divisors is an integer number (3482656003827).

Almost surely, 2^{27661517401733} is an apocalyptic number.

It is an amenable number.

27661517401733 is a deficient number, since it is larger than the sum of its proper divisors (199730628883).

27661517401733 is a wasteful number, since it uses less digits than its factorization.

27661517401733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257717575.

The product of its (nonzero) digits is 4445280, while the sum is 53.

The spelling of 27661517401733 in words is "twenty-seven trillion, six hundred sixty-one billion, five hundred seventeen million, four hundred one thousand, seven hundred thirty-three".