27868737034110 has 192 divisors, whose sum is σ = 79961555287872. Its totient is φ = 6193665644544.

The previous prime is 27868737034067. The next prime is 27868737034157. The reversal of 27868737034110 is 1143073786872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81032674 + ... + 81375866.

It is an arithmetic number, because the mean of its divisors is an integer number (416466433791).

Almost surely, 2^{27868737034110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27868737034110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39980777643936).

27868737034110 is an abundant number, since it is smaller than the sum of its proper divisors (52092818253762).

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

27868737034110 is a wasteful number, since it uses less digits than its factorization.

27868737034110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344747 (or 344740 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 57.

The spelling of 27868737034110 in words is "twenty-seven trillion, eight hundred sixty-eight billion, seven hundred thirty-seven million, thirty-four thousand, one hundred ten".