27893711712 has 192 divisors, whose sum is σ = 80106485760. Its totient is φ = 8474726400.

The previous prime is 27893711623. The next prime is 27893711719. The reversal of 27893711712 is 21711739872.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27893711719) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3534523 + ... + 3542405.

It is an arithmetic number, because the mean of its divisors is an integer number (417221280).

Almost surely, 2^27893711712 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 27893711712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40053242880).

27893711712 is an abundant number, since it is smaller than the sum of its proper divisors (52212774048).

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

27893711712 is a wasteful number, since it uses less digits than its factorization.

27893711712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7997 (or 7989 counting only the distinct ones).

The product of its digits is 296352, while the sum is 48.

The spelling of 27893711712 in words is "twenty-seven billion, eight hundred ninety-three million, seven hundred eleven thousand, seven hundred twelve".