27087042960 has 540 divisors, whose sum is σ = 100872223452. Its totient is φ = 6512292864.

The previous prime is 27087042947. The next prime is 27087042967. The reversal of 27087042960 is 6924078072.

It can be written as a sum of positive squares in 2 ways, for example, as 20047161744 + 7039881216 = 141588^2 + 83904^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27087042967) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 137497582 + ... + 137497778.

Almost surely, 2^27087042960 is an apocalyptic number.

27087042960 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 27087042960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50436111726).

27087042960 is an abundant number, since it is smaller than the sum of its proper divisors (73785180492).

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

27087042960 is a wasteful number, since it uses less digits than its factorization.

27087042960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 27087042960 in words is "twenty-seven billion, eighty-seven million, forty-two thousand, nine hundred sixty".