605123420650020 has 288 divisors, whose sum is σ = 1849742331300864. Its totient is φ = 160122562560000.

The previous prime is 605123420650003. The next prime is 605123420650031. The reversal of 605123420650020 is 20056024321506.

605123420650020 is a `hidden beast` number, since 6 + 0 + 5 + 123 + 4 + 2 + 0 + 6 + 500 + 20 = 666.

It is a super-3 number, since 3×605123420650020³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22254534625 + ... + 22254561815.

It is an arithmetic number, because the mean of its divisors is an integer number (6422716428128).

Almost surely, 2^{605123420650020} is an apocalyptic number.

605123420650020 is a gapful number since it is divisible by the number (60) 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 605123420650020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924871165650432).

605123420650020 is an abundant number, since it is smaller than the sum of its proper divisors (1244618910650844).

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

605123420650020 is a wasteful number, since it uses less digits than its factorization.

605123420650020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29003 (or 28998 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 605123420650020 its reverse (20056024321506), we get a palindrome (625179444971526).

The spelling of 605123420650020 in words is "six hundred five trillion, one hundred twenty-three billion, four hundred twenty million, six hundred fifty thousand, twenty".