27114309936 has 360 divisors, whose sum is σ = 98391224880. Its totient is φ = 6906912768.

The previous prime is 27114309923. The next prime is 27114309973. The reversal of 27114309936 is 63990341172.

It is a junction number, because it is equal to n+sod(n) for n = 27114309891 and 27114309900.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2273140 + ... + 2285036.

It is an arithmetic number, because the mean of its divisors is an integer number (273308958).

Almost surely, 2^27114309936 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 27114309936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49195612440).

27114309936 is an abundant number, since it is smaller than the sum of its proper divisors (71276914944).

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

27114309936 is a wasteful number, since it uses less digits than its factorization.

27114309936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11961 (or 11945 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 27114309936 in words is "twenty-seven billion, one hundred fourteen million, three hundred nine thousand, nine hundred thirty-six".