27082000320 has 224 divisors, whose sum is σ = 90284198400. Its totient is φ = 6868291584.

The previous prime is 27082000301. The next prime is 27082000333. The reversal of 27082000320 is 2300028072.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1858021 + ... + 1872539.

Almost surely, 2^27082000320 is an apocalyptic number.

27082000320 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 27082000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45142099200).

27082000320 is an abundant number, since it is smaller than the sum of its proper divisors (63202198080).

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

27082000320 is a wasteful number, since it uses less digits than its factorization.

27082000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14635 (or 14625 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

Adding to 27082000320 its reverse (2300028072), we get a palindrome (29382028392).

The spelling of 27082000320 in words is "twenty-seven billion, eighty-two million, three hundred twenty", and thus it is an aban number.