27752805538848 has 192 divisors, whose sum is σ = 87177184254720. Its totient is φ = 8538843764736.

The previous prime is 27752805538837. The next prime is 27752805538877. The reversal of 27752805538848 is 84883550825772.

27752805538848 is a `hidden beast` number, since 2 + 7 + 7 + 5 + 2 + 8 + 0 + 5 + 538 + 84 + 8 = 666.

It is a super-2 number, since 2×27752805538848² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234543636 + ... + 234661932.

It is an arithmetic number, because the mean of its divisors is an integer number (454047834660).

Almost surely, 2^{27752805538848} 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 27752805538848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43588592127360).

27752805538848 is an abundant number, since it is smaller than the sum of its proper divisors (59424378715872).

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

27752805538848 is a wasteful number, since it uses less digits than its factorization.

27752805538848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139216 (or 139202 counting only the distinct ones).

The product of its (nonzero) digits is 1204224000, while the sum is 72.

The spelling of 27752805538848 in words is "twenty-seven trillion, seven hundred fifty-two billion, eight hundred five million, five hundred thirty-eight thousand, eight hundred forty-eight".