27250044640 has 288 divisors, whose sum is σ = 81183259584. Its totient is φ = 8567193600.

The previous prime is 27250044629. The next prime is 27250044643. The reversal of 27250044640 is 4644005272.

It is a junction number, because it is equal to n+sod(n) for n = 27250044596 and 27250044605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27250044643) 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 47 ways as a sum of consecutive naturals, for example, 17019840 + ... + 17021440.

It is an arithmetic number, because the mean of its divisors is an integer number (281886318).

Almost surely, 2^27250044640 is an apocalyptic number.

27250044640 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 27250044640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40591629792).

27250044640 is an abundant number, since it is smaller than the sum of its proper divisors (53933214944).

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

27250044640 is a wasteful number, since it uses less digits than its factorization.

27250044640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The spelling of 27250044640 in words is "twenty-seven billion, two hundred fifty million, forty-four thousand, six hundred forty".