27030107234304 has 280 divisors, whose sum is σ = 81052415062740. Its totient is φ = 8976481910784.

The previous prime is 27030107234297. The next prime is 27030107234353. The reversal of 27030107234304 is 40343270103072.

27030107234304 is a `hidden beast` number, since 2 + 7 + 0 + 301 + 0 + 7 + 2 + 343 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22554140774400 + 4475966459904 = 4749120^2 + 2115648^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 178419772 + ... + 178571204.

Almost surely, 2^{27030107234304} is an apocalyptic number.

27030107234304 is a gapful number since it is divisible by the number (24) 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 27030107234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40526207531370).

27030107234304 is an abundant number, since it is smaller than the sum of its proper divisors (54022307828436).

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

27030107234304 is an equidigital number, since it uses as much as digits as its factorization.

27030107234304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151740 (or 151707 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

Adding to 27030107234304 its reverse (40343270103072), we get a palindrome (67373377337376).

The spelling of 27030107234304 in words is "twenty-seven trillion, thirty billion, one hundred seven million, two hundred thirty-four thousand, three hundred four".