20821032960 has 960 divisors, whose sum is σ = 88077696000. Its totient is φ = 4161798144.

The previous prime is 20821032943. The next prime is 20821032989. The reversal of 20821032960 is 6923012802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1095843831 + ... + 1095843849.

It is an arithmetic number, because the mean of its divisors is an integer number (91747600).

Almost surely, 2^20821032960 is an apocalyptic number.

20821032960 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 20821032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44038848000).

20821032960 is an abundant number, since it is smaller than the sum of its proper divisors (67256663040).

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

20821032960 is an equidigital number, since it uses as much as digits as its factorization.

20821032960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 20821032960 in words is "twenty billion, eight hundred twenty-one million, thirty-two thousand, nine hundred sixty".