27755777040 has 160 divisors (see below), whose sum is σ = 89107689600. Its totient is φ = 7138467840.

The previous prime is 27755777017. The next prime is 27755777047. The reversal of 27755777040 is 4077755772.

It is not an unprimeable number, because it can be changed into a prime (27755777047) by changing a digit.

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, 8983816 + ... + 8986904.

It is an arithmetic number, because the mean of its divisors is an integer number (556923060).

Almost surely, 2^27755777040 is an apocalyptic number.

27755777040 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 27755777040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44553844800).

27755777040 is an abundant number, since it is smaller than the sum of its proper divisors (61351912560).

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

27755777040 is a wasteful number, since it uses less digits than its factorization.

27755777040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4425 (or 4419 counting only the distinct ones).

The product of its (nonzero) digits is 3361400, while the sum is 51.

The spelling of 27755777040 in words is "twenty-seven billion, seven hundred fifty-five million, seven hundred seventy-seven thousand, forty".