27540665280 has 224 divisors, whose sum is σ = 97624270080. Its totient is φ = 7308887040.

The previous prime is 27540665237. The next prime is 27540665311. The reversal of 27540665280 is 8256604572.

27540665280 is a `hidden beast` number, since 27 + 5 + 40 + 66 + 528 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1815487 + ... + 1830593.

Almost surely, 2^27540665280 is an apocalyptic number.

27540665280 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 27540665280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48812135040).

27540665280 is an abundant number, since it is smaller than the sum of its proper divisors (70083604800).

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

27540665280 is a wasteful number, since it uses less digits than its factorization.

27540665280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15344 (or 15328 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 27540665280 in words is "twenty-seven billion, five hundred forty million, six hundred sixty-five thousand, two hundred eighty".