27561588040 has 128 divisors (see below), whose sum is σ = 72424627200. Its totient is φ = 9244327680.

The previous prime is 27561588029. The next prime is 27561588053. The reversal of 27561588040 is 4088516572.

It is a super-2 number, since 2×27561588040² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3481767 + ... + 3489673.

It is an arithmetic number, because the mean of its divisors is an integer number (565817400).

Almost surely, 2^27561588040 is an apocalyptic number.

27561588040 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 27561588040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36212313600).

27561588040 is an abundant number, since it is smaller than the sum of its proper divisors (44863039160).

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

27561588040 is a wasteful number, since it uses less digits than its factorization.

27561588040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8195 (or 8191 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 46.

The spelling of 27561588040 in words is "twenty-seven billion, five hundred sixty-one million, five hundred eighty-eight thousand, forty".