27216217728 has 1024 divisors, whose sum is σ = 105988608000. Its totient is φ = 6772211712.

The previous prime is 27216217727. The next prime is 27216217741. The reversal of 27216217728 is 82771261272.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (27216217723) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 632935275 + ... + 632935317.

It is an arithmetic number, because the mean of its divisors is an integer number (103504500).

Almost surely, 2^27216217728 is an apocalyptic number.

27216217728 is a gapful number since it is divisible by the number (28) 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 27216217728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52994304000).

27216217728 is an abundant number, since it is smaller than the sum of its proper divisors (78772390272).

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

27216217728 is an equidigital number, since it uses as much as digits as its factorization.

27216217728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 91 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The spelling of 27216217728 in words is "twenty-seven billion, two hundred sixteen million, two hundred seventeen thousand, seven hundred twenty-eight".