272823090606 has 96 divisors (see below), whose sum is σ = 656155225440. Its totient is φ = 81914405760.

The previous prime is 272823090559. The next prime is 272823090607. The reversal of 272823090606 is 606090328272.

272823090606 is a `hidden beast` number, since 2 + 7 + 2 + 8 + 2 + 30 + 9 + 0 + 606 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272823090607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2559186 + ... + 2663658.

It is an arithmetic number, because the mean of its divisors is an integer number (6834950265).

Almost surely, 2^272823090606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272823090606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328077612720).

272823090606 is an abundant number, since it is smaller than the sum of its proper divisors (383332134834).

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

272823090606 is a wasteful number, since it uses less digits than its factorization.

272823090606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104623 (or 104598 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 272823090606 in words is "two hundred seventy-two billion, eight hundred twenty-three million, ninety thousand, six hundred six".