20685442883040 has 1152 divisors, whose sum is σ = 80735815480320. Its totient is φ = 4780892160000.

The previous prime is 20685442882927. The next prime is 20685442883047. The reversal of 20685442883040 is 4038824458602.

20685442883040 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 54 + 4 + 288 + 304 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20685442883047) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23479503400 + ... + 23479504280.

It is an arithmetic number, because the mean of its divisors is an integer number (70083173160).

Almost surely, 2^{20685442883040} is an apocalyptic number.

20685442883040 is a gapful number since it is divisible by the number (20) 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 20685442883040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40367907740160).

20685442883040 is an abundant number, since it is smaller than the sum of its proper divisors (60050372597280).

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

20685442883040 is a wasteful number, since it uses less digits than its factorization.

20685442883040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 20685442883040 in words is "twenty trillion, six hundred eighty-five billion, four hundred forty-two million, eight hundred eighty-three thousand, forty".