27788723638074 has 192 divisors, whose sum is σ = 69985749600000. Its totient is φ = 7805145553920.

The previous prime is 27788723637959. The next prime is 27788723638103. The reversal of 27788723638074 is 47083632788772.

27788723638074 is a `hidden beast` number, since 2 + 7 + 7 + 8 + 8 + 7 + 236 + 380 + 7 + 4 = 666.

It is a super-2 number, since 2×27788723638074² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27788723637993 and 27788723638011.

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 95 ways as a sum of consecutive naturals, for example, 1505257204 + ... + 1505275664.

It is an arithmetic number, because the mean of its divisors is an integer number (364509112500).

Almost surely, 2^{27788723638074} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27788723638074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34992874800000).

27788723638074 is an abundant number, since it is smaller than the sum of its proper divisors (42197025961926).

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

27788723638074 is a wasteful number, since it uses less digits than its factorization.

27788723638074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19333 (or 19330 counting only the distinct ones).

The product of its (nonzero) digits is 1062125568, while the sum is 72.

The spelling of 27788723638074 in words is "twenty-seven trillion, seven hundred eighty-eight billion, seven hundred twenty-three million, six hundred thirty-eight thousand, seventy-four".