27382442220 has 288 divisors, whose sum is σ = 96275088000. Its totient is φ = 6170591232.

The previous prime is 27382442201. The next prime is 27382442221. The reversal of 27382442220 is 2224428372.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27382442221) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 29474716 + ... + 29475644.

It is an arithmetic number, because the mean of its divisors is an integer number (334288500).

Almost surely, 2^27382442220 is an apocalyptic number.

27382442220 is a gapful number since it is divisible by the number (20) 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 27382442220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48137544000).

27382442220 is an abundant number, since it is smaller than the sum of its proper divisors (68892645780).

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

27382442220 is a wasteful number, since it uses less digits than its factorization.

27382442220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 27382442220 in words is "twenty-seven billion, three hundred eighty-two million, four hundred forty-two thousand, two hundred twenty".