27752677312 has 168 divisors, whose sum is σ = 59708710656. Its totient is φ = 12790255104.

The previous prime is 27752677301. The next prime is 27752677321. The reversal of 27752677312 is 21377625772.

It is a super-2 number, since 2×27752677312² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170261743 + ... + 170261905.

It is an arithmetic number, because the mean of its divisors is an integer number (355408992).

Almost surely, 2^27752677312 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 27752677312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29854355328).

27752677312 is an abundant number, since it is smaller than the sum of its proper divisors (31956033344).

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

27752677312 is a wasteful number, since it uses less digits than its factorization.

27752677312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 342 counting only the distinct ones).

The product of its digits is 1728720, while the sum is 49.

The spelling of 27752677312 in words is "twenty-seven billion, seven hundred fifty-two million, six hundred seventy-seven thousand, three hundred twelve".