27102182016 has 512 divisors, whose sum is σ = 92649553920. Its totient is φ = 6827950080.

The previous prime is 27102181973. The next prime is 27102182077. The reversal of 27102182016 is 61028120172.

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 63 ways as a sum of consecutive naturals, for example, 137574430 + ... + 137574626.

It is an arithmetic number, because the mean of its divisors is an integer number (180956160).

Almost surely, 2^27102182016 is an apocalyptic number.

27102182016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27102182016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46324776960).

27102182016 is an abundant number, since it is smaller than the sum of its proper divisors (65547371904).

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

27102182016 is a wasteful number, since it uses less digits than its factorization.

27102182016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The spelling of 27102182016 in words is "twenty-seven billion, one hundred two million, one hundred eighty-two thousand, sixteen".