27795823360 has 144 divisors (see below), whose sum is σ = 67648567392. Its totient is φ = 10941235200.

The previous prime is 27795823339. The next prime is 27795823369. The reversal of 27795823360 is 6332859772.

It is a junction number, because it is equal to n+sod(n) for n = 27795823298 and 27795823307.

It is not an unprimeable number, because it can be changed into a prime (27795823369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26197230 + ... + 26198290.

It is an arithmetic number, because the mean of its divisors is an integer number (469781718).

Almost surely, 2^27795823360 is an apocalyptic number.

27795823360 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 27795823360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33824283696).

27795823360 is an abundant number, since it is smaller than the sum of its proper divisors (39852744032).

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

27795823360 is a wasteful number, since it uses less digits than its factorization.

27795823360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 52.

The spelling of 27795823360 in words is "twenty-seven billion, seven hundred ninety-five million, eight hundred twenty-three thousand, three hundred sixty".