20585335680 has 1536 divisors, whose sum is σ = 96764544000. Its totient is φ = 4037050368.

The previous prime is 20585335657. The next prime is 20585335747. The reversal of 20585335680 is 8653358502.

20585335680 is a `hidden beast` number, since 2 + 0 + 5 + 85 + 3 + 3 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 388402534 + ... + 388402586.

It is an arithmetic number, because the mean of its divisors is an integer number (62997750).

Almost surely, 2^20585335680 is an apocalyptic number.

20585335680 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 20585335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48382272000).

20585335680 is an abundant number, since it is smaller than the sum of its proper divisors (76179208320).

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

20585335680 is a wasteful number, since it uses less digits than its factorization.

20585335680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 20585335680 in words is "twenty billion, five hundred eighty-five million, three hundred thirty-five thousand, six hundred eighty".