27513458912106 has 72 divisors (see below), whose sum is σ = 61108912825740. Its totient is φ = 8946442352640.

The previous prime is 27513458912099. The next prime is 27513458912183. The reversal of 27513458912106 is 60121985431572.

27513458912106 is a `hidden beast` number, since 2 + 7 + 5 + 1 + 34 + 589 + 1 + 21 + 0 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5681286767025 + 21832172145081 = 2383545^2 + 4672491^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 291307066 + ... + 291401498.

It is a 1-persistent number, because it is pandigital, but 2⋅27513458912106 = 55026917824212 is not.

Almost surely, 2^{27513458912106} is an apocalyptic number.

27513458912106 is an abundant number, since it is smaller than the sum of its proper divisors (33595453913634).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27513458912106 is a wasteful number, since it uses less digits than its factorization.

27513458912106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104152 (or 104108 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 27513458912106 in words is "twenty-seven trillion, five hundred thirteen billion, four hundred fifty-eight million, nine hundred twelve thousand, one hundred six".