20533024000 has 144 divisors (see below), whose sum is σ = 51459866640. Its totient is φ = 8163532800.

The previous prime is 20533023989. The next prime is 20533024021. The reversal of 20533024000 is 42033502.

It can be written as a sum of positive squares in 8 ways, for example, as 4511540224 + 16021483776 = 67168^2 + 126576^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5534146 + ... + 5537854.

It is an arithmetic number, because the mean of its divisors is an integer number (357360185).

Almost surely, 2^20533024000 is an apocalyptic number.

20533024000 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 20533024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25729933320).

20533024000 is an abundant number, since it is smaller than the sum of its proper divisors (30926842640).

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

20533024000 is an equidigital number, since it uses as much as digits as its factorization.

20533024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3913 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

Adding to 20533024000 its reverse (42033502), we get a palindrome (20575057502).

The spelling of 20533024000 in words is "twenty billion, five hundred thirty-three million, twenty-four thousand".