20682701689650 has 2304 divisors, whose sum is σ = 75972489449472. Its totient is φ = 3651056640000.

The previous prime is 20682701689649. The next prime is 20682701689667. The reversal of 20682701689650 is 5698610728602.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 104988333352 + ... + 104988333548.

It is an arithmetic number, because the mean of its divisors is an integer number (32974170768).

Almost surely, 2^{20682701689650} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20682701689650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37986244724736).

20682701689650 is an abundant number, since it is smaller than the sum of its proper divisors (55289787759822).

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

20682701689650 is a wasteful number, since it uses less digits than its factorization.

20682701689650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 20682701689650 in words is "twenty trillion, six hundred eighty-two billion, seven hundred one million, six hundred eighty-nine thousand, six hundred fifty".