27284480000 has 210 divisors, whose sum is σ = 69132049569. Its totient is φ = 10764288000.

The previous prime is 27284479979. The next prime is 27284480009. The reversal of 27284480000 is 8448272.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 1252593664 + 26031886336 = 35392^2 + 161344^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=116800.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27284480009) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 373759964 + ... + 373760036.

Almost surely, 2^27284480000 is an apocalyptic number.

27284480000 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 27284480000

27284480000 is an abundant number, since it is smaller than the sum of its proper divisors (41847569569).

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

27284480000 is an frugal number, since it uses more digits than its factorization.

27284480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The spelling of 27284480000 in words is "twenty-seven billion, two hundred eighty-four million, four hundred eighty thousand".