20685313242 has 96 divisors (see below), whose sum is σ = 49440568320. Its totient is φ = 6249988800.

The previous prime is 20685313241. The next prime is 20685313279. The reversal of 20685313242 is 24231358602.

20685313242 is a `hidden beast` number, since 20 + 6 + 85 + 313 + 242 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20685313197 and 20685313206.

It is not an unprimeable number, because it can be changed into a prime (20685313241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9797767 + ... + 9799877.

It is an arithmetic number, because the mean of its divisors is an integer number (515005920).

Almost surely, 2^20685313242 is an apocalyptic number.

20685313242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20685313242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24720284160).

20685313242 is an abundant number, since it is smaller than the sum of its proper divisors (28755255078).

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

20685313242 is a wasteful number, since it uses less digits than its factorization.

20685313242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 20685313242 in words is "twenty billion, six hundred eighty-five million, three hundred thirteen thousand, two hundred forty-two".