20321280000 has 1050 divisors, whose sum is σ = 88247963331. Its totient is φ = 4644864000.

The previous prime is 20321279989. The next prime is 20321280011. The reversal of 20321280000 is 8212302.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (20321279989) and next prime (20321280011).

It can be written as a sum of positive squares in 3 ways, for example, as 4698279936 + 15623000064 = 68544^2 + 124992^2 .

It is a tau number, because it is divible by the number of its divisors (1050).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=100800.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 2903039997 + ... + 2903040003.

Almost surely, 2^20321280000 is an apocalyptic number.

20321280000 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 20321280000

20321280000 is an abundant number, since it is smaller than the sum of its proper divisors (67926683331).

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

20321280000 is an frugal number, since it uses more digits than its factorization.

20321280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Multiplying 20321280000 by its sum of digits (18), we get a square (365783040000 = 604800²).

20321280000 divided by its sum of digits (18) gives a square (1128960000 = 33600²).

Adding to 20321280000 its reverse (8212302), we get a palindrome (20329492302).

The spelling of 20321280000 in words is "twenty billion, three hundred twenty-one million, two hundred eighty thousand".