27883853712 has 720 divisors, whose sum is σ = 100704554496. Its totient is φ = 7150809600.

The previous prime is 27883853687. The next prime is 27883853719. The reversal of 27883853712 is 21735838872.

27883853712 is a `hidden beast` number, since 2 + 78 + 8 + 38 + 537 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (27883853719) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 899479137 + ... + 899479167.

Almost surely, 2^27883853712 is an apocalyptic number.

27883853712 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 27883853712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50352277248).

27883853712 is an abundant number, since it is smaller than the sum of its proper divisors (72820700784).

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

27883853712 is a wasteful number, since it uses less digits than its factorization.

27883853712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 79 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 27883853712 in words is "twenty-seven billion, eight hundred eighty-three million, eight hundred fifty-three thousand, seven hundred twelve".