27722973312 has 192 divisors, whose sum is σ = 86268499200. Its totient is φ = 8512069632.

The previous prime is 27722973301. The next prime is 27722973319. The reversal of 27722973312 is 21337922772.

It is a happy number.

27722973312 is a `hidden beast` number, since 27 + 7 + 2 + 297 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (27722973319) 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, 905389 + ... + 935507.

It is an arithmetic number, because the mean of its divisors is an integer number (449315100).

Almost surely, 2^27722973312 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 27722973312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43134249600).

27722973312 is an abundant number, since it is smaller than the sum of its proper divisors (58545525888).

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

27722973312 is a wasteful number, since it uses less digits than its factorization.

27722973312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30203 (or 30188 counting only the distinct ones).

The product of its digits is 444528, while the sum is 45.

The spelling of 27722973312 in words is "twenty-seven billion, seven hundred twenty-two million, nine hundred seventy-three thousand, three hundred twelve".