27820827216 has 960 divisors, whose sum is σ = 111855340800. Its totient is φ = 6521389056.

The previous prime is 27820827193. The next prime is 27820827241. The reversal of 27820827216 is 61272802872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 88884276 + ... + 88884588.

It is an arithmetic number, because the mean of its divisors is an integer number (116515980).

Almost surely, 2^27820827216 is an apocalyptic number.

27820827216 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 27820827216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55927670400).

27820827216 is an abundant number, since it is smaller than the sum of its proper divisors (84034513584).

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

27820827216 is a wasteful number, since it uses less digits than its factorization.

27820827216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 27820827216 in words is "twenty-seven billion, eight hundred twenty million, eight hundred twenty-seven thousand, two hundred sixteen".