27053015040 has 480 divisors, whose sum is σ = 98017893120. Its totient is φ = 7166361600.

The previous prime is 27053015027. The next prime is 27053015047. The reversal of 27053015040 is 4051035072.

It is a happy number.

27053015040 is a `hidden beast` number, since 270 + 5 + 301 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 27053014995 and 27053015013.

It is not an unprimeable number, because it can be changed into a prime (27053015047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179158965 + ... + 179159115.

It is an arithmetic number, because the mean of its divisors is an integer number (204203944).

Almost surely, 2^27053015040 is an apocalyptic number.

27053015040 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 27053015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49008946560).

27053015040 is an abundant number, since it is smaller than the sum of its proper divisors (70964878080).

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

27053015040 is an frugal number, since it uses more digits than its factorization.

27053015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 27053015040 in words is "twenty-seven billion, fifty-three million, fifteen thousand, forty".