27693546012 has 144 divisors (see below), whose sum is σ = 77638710240. Its totient is φ = 8252928000.

The previous prime is 27693546011. The next prime is 27693546047. The reversal of 27693546012 is 21064539672.

27693546012 is a `hidden beast` number, since 2 + 7 + 6 + 9 + 35 + 4 + 601 + 2 = 666.

It is a super-2 number, since 2×27693546012² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27693546011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11590914 + ... + 11593302.

It is an arithmetic number, because the mean of its divisors is an integer number (539157710).

Almost surely, 2^27693546012 is an apocalyptic number.

27693546012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27693546012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38819355120).

27693546012 is an abundant number, since it is smaller than the sum of its proper divisors (49945164228).

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

27693546012 is a wasteful number, since it uses less digits than its factorization.

27693546012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 27693546012 in words is "twenty-seven billion, six hundred ninety-three million, five hundred forty-six thousand, twelve".