20966210160 has 720 divisors, whose sum is σ = 83323238400. Its totient is φ = 4342947840.

The previous prime is 20966210159. The next prime is 20966210171. The reversal of 20966210160 is 6101266902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 105357741 + ... + 105357939.

It is an arithmetic number, because the mean of its divisors is an integer number (115726720).

Almost surely, 2^20966210160 is an apocalyptic number.

20966210160 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 20966210160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41661619200).

20966210160 is an abundant number, since it is smaller than the sum of its proper divisors (62357028240).

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

20966210160 is a wasteful number, since it uses less digits than its factorization.

20966210160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 20966210160 in words is "twenty billion, nine hundred sixty-six million, two hundred ten thousand, one hundred sixty".