27830754612 has 144 divisors (see below), whose sum is σ = 72476586000. Its totient is φ = 9002188800.

The previous prime is 27830754577. The next prime is 27830754629. The reversal of 27830754612 is 21645703872.

27830754612 is a `hidden beast` number, since 2 + 78 + 30 + 7 + 546 + 1 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1351003536 + 26479751076 = 36756^2 + 162726^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46307112 + ... + 46307712.

It is an arithmetic number, because the mean of its divisors is an integer number (503309625).

Almost surely, 2^27830754612 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27830754612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36238293000).

27830754612 is an abundant number, since it is smaller than the sum of its proper divisors (44645831388).

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

27830754612 is a wasteful number, since it uses less digits than its factorization.

27830754612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 27830754612 in words is "twenty-seven billion, eight hundred thirty million, seven hundred fifty-four thousand, six hundred twelve".