20321333032 has 256 divisors, whose sum is σ = 53364326400. Its totient is φ = 6998400000.

The previous prime is 20321333023. The next prime is 20321333059. The reversal of 20321333032 is 23033312302.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 20321332994 and 20321333012.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27058657 + ... + 27059407.

It is an arithmetic number, because the mean of its divisors is an integer number (208454400).

Almost surely, 2^20321333032 is an apocalyptic number.

20321333032 is a gapful number since it is divisible by the number (22) 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 20321333032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26682163200).

20321333032 is an abundant number, since it is smaller than the sum of its proper divisors (33042993368).

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

20321333032 is a wasteful number, since it uses less digits than its factorization.

20321333032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 20321333032 its reverse (23033312302), we get a palindrome (43354645334).

It can be divided in two parts, 20321 and 333032, that added together give a palindrome (353353).

The spelling of 20321333032 in words is "twenty billion, three hundred twenty-one million, three hundred thirty-three thousand, thirty-two".