27349074225 has 192 divisors, whose sum is σ = 57130272000. Its totient is φ = 12705638400.

The previous prime is 27349074217. The next prime is 27349074281. The reversal of 27349074225 is 52247094372.

27349074225 is a `hidden beast` number, since 2 + 73 + 490 + 74 + 2 + 25 = 666.

It is not a de Polignac number, because 27349074225 - 2³ = 27349074217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33805621 + ... + 33806429.

It is an arithmetic number, because the mean of its divisors is an integer number (297553500).

Almost surely, 2^27349074225 is an apocalyptic number.

27349074225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27349074225 is an abundant number, since it is smaller than the sum of its proper divisors (29781197775).

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

27349074225 is a wasteful number, since it uses less digits than its factorization.

27349074225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 27349074225 in words is "twenty-seven billion, three hundred forty-nine million, seventy-four thousand, two hundred twenty-five".