27758469312 has 672 divisors, whose sum is σ = 102089175552. Its totient is φ = 7297744896.

The previous prime is 27758469307. The next prime is 27758469353. The reversal of 27758469312 is 21396485772.

It is a happy number.

27758469312 is a `hidden beast` number, since 27 + 7 + 584 + 6 + 9 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98086323 + ... + 98086605.

It is an arithmetic number, because the mean of its divisors is an integer number (151918416).

Almost surely, 2^27758469312 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 27758469312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51044587776).

27758469312 is an abundant number, since it is smaller than the sum of its proper divisors (74330706240).

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

27758469312 is a wasteful number, since it uses less digits than its factorization.

27758469312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 365 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 27758469312 in words is "twenty-seven billion, seven hundred fifty-eight million, four hundred sixty-nine thousand, three hundred twelve".