27722852352 has 288 divisors, whose sum is σ = 87002173440. Its totient is φ = 8453652480.

The previous prime is 27722852351. The next prime is 27722852369. The reversal of 27722852352 is 25325822772.

27722852352 is a `hidden beast` number, since 2 + 7 + 72 + 2 + 8 + 523 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 27722852298 and 27722852307.

It is not an unprimeable number, because it can be changed into a prime (27722852351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30430777 + ... + 30431687.

It is an arithmetic number, because the mean of its divisors is an integer number (302090880).

Almost surely, 2^27722852352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27722852352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43501086720).

27722852352 is an abundant number, since it is smaller than the sum of its proper divisors (59279321088).

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

27722852352 is a wasteful number, since it uses less digits than its factorization.

27722852352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1056 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The spelling of 27722852352 in words is "twenty-seven billion, seven hundred twenty-two million, eight hundred fifty-two thousand, three hundred fifty-two".