20962332160 has 640 divisors, whose sum is σ = 68588467200. Its totient is φ = 5945425920.

The previous prime is 20962332119. The next prime is 20962332169. The reversal of 20962332160 is 6123326902.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20962332169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108613024 + ... + 108613216.

It is an arithmetic number, because the mean of its divisors is an integer number (107169480).

Almost surely, 2^20962332160 is an apocalyptic number.

20962332160 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 20962332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34294233600).

20962332160 is an abundant number, since it is smaller than the sum of its proper divisors (47626135040).

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

20962332160 is a wasteful number, since it uses less digits than its factorization.

20962332160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The spelling of 20962332160 in words is "twenty billion, nine hundred sixty-two million, three hundred thirty-two thousand, one hundred sixty".