27414110106120 has 64 divisors (see below), whose sum is σ = 84465096016320. Its totient is φ = 7112850188544.

The previous prime is 27414110106067. The next prime is 27414110106143. The reversal of 27414110106120 is 2160101141472.

It is a happy number.

It is a super-2 number, since 2×27414110106120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3087170122 + ... + 3087179001.

It is an arithmetic number, because the mean of its divisors is an integer number (1319767125255).

Almost surely, 2^{27414110106120} is an apocalyptic number.

27414110106120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27414110106120 is an abundant number, since it is smaller than the sum of its proper divisors (57050985910200).

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

27414110106120 is a wasteful number, since it uses less digits than its factorization.

27414110106120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6174349174 (or 6174349170 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

Adding to 27414110106120 its reverse (2160101141472), we get a palindrome (29574211247592).

The spelling of 27414110106120 in words is "twenty-seven trillion, four hundred fourteen billion, one hundred ten million, one hundred six thousand, one hundred twenty".