27082814010 has 96 divisors (see below), whose sum is σ = 75646109952. Its totient is φ = 6187466880.

The previous prime is 27082813981. The next prime is 27082814041. The reversal of 27082814010 is 1041828072.

It is a happy number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5896815 + ... + 5901405.

It is an arithmetic number, because the mean of its divisors is an integer number (787980312).

Almost surely, 2^27082814010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27082814010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37823054976).

27082814010 is an abundant number, since it is smaller than the sum of its proper divisors (48563295942).

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

27082814010 is a wasteful number, since it uses less digits than its factorization.

27082814010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8628 (or 8621 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The spelling of 27082814010 in words is "twenty-seven billion, eighty-two million, eight hundred fourteen thousand, ten".