27849814120 has 32 divisors (see below), whose sum is σ = 66348088200. Its totient is φ = 10484635648.

The previous prime is 27849814117. The next prime is 27849814121. The reversal of 27849814120 is 2141894872.

It can be written as a sum of positive squares in 4 ways, for example, as 27701607844 + 148206276 = 166438^2 + 12174^2 .

It is a super-2 number, since 2×27849814120² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27849814121) 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, 20477125 + ... + 20478484.

Almost surely, 2^27849814120 is an apocalyptic number.

27849814120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27849814120 is an abundant number, since it is smaller than the sum of its proper divisors (38498274080).

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

27849814120 is a wasteful number, since it uses less digits than its factorization.

27849814120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40955637 (or 40955633 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The spelling of 27849814120 in words is "twenty-seven billion, eight hundred forty-nine million, eight hundred fourteen thousand, one hundred twenty".