27065142720 has 1008 divisors, whose sum is σ = 120872853504. Its totient is φ = 5399654400.

The previous prime is 27065142641. The next prime is 27065142721. The reversal of 27065142720 is 2724156072.

It is a happy number.

27065142720 is a `hidden beast` number, since 2 + 70 + 6 + 514 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27065142721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 213111297 + ... + 213111423.

Almost surely, 2^27065142720 is an apocalyptic number.

27065142720 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 27065142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60436426752).

27065142720 is an abundant number, since it is smaller than the sum of its proper divisors (93807710784).

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

27065142720 is a wasteful number, since it uses less digits than its factorization.

27065142720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Adding to 27065142720 its reverse (2724156072), we get a palindrome (29789298792).

The spelling of 27065142720 in words is "twenty-seven billion, sixty-five million, one hundred forty-two thousand, seven hundred twenty".