20332884000 has 1152 divisors, whose sum is σ = 85157339904. Its totient is φ = 4177920000.

The previous prime is 20332883947. The next prime is 20332884007. The reversal of 20332884000 is 48823302.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20332884007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 495923980 + ... + 495924020.

It is an arithmetic number, because the mean of its divisors is an integer number (73921302).

Almost surely, 2^20332884000 is an apocalyptic number.

20332884000 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 20332884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42578669952).

20332884000 is an abundant number, since it is smaller than the sum of its proper divisors (64824455904).

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

20332884000 is a wasteful number, since it uses less digits than its factorization.

20332884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 20332884000 in words is "twenty billion, three hundred thirty-two million, eight hundred eighty-four thousand".