27960966138 has 96 divisors (see below), whose sum is σ = 68945525568. Its totient is φ = 7511616000.

The previous prime is 27960966113. The next prime is 27960966139. The reversal of 27960966138 is 83166906972.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (27960966139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6900213 + ... + 6904263.

It is an arithmetic number, because the mean of its divisors is an integer number (718182558).

Almost surely, 2^27960966138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27960966138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34472762784).

27960966138 is an abundant number, since it is smaller than the sum of its proper divisors (40984559430).

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

27960966138 is a wasteful number, since it uses less digits than its factorization.

27960966138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5468 (or 5461 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 27960966138 in words is "twenty-seven billion, nine hundred sixty million, nine hundred sixty-six thousand, one hundred thirty-eight".