20468382160 has 80 divisors (see below), whose sum is σ = 50576562000. Its totient is φ = 7676960768.

The previous prime is 20468382131. The next prime is 20468382169. The reversal of 20468382160 is 6128386402.

It can be written as a sum of positive squares in 8 ways, for example, as 1974558096 + 18493824064 = 44436^2 + 135992^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20468382169) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 337866 + ... + 393814.

It is an arithmetic number, because the mean of its divisors is an integer number (632207025).

Almost surely, 2^20468382160 is an apocalyptic number.

20468382160 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 20468382160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25288281000).

20468382160 is an abundant number, since it is smaller than the sum of its proper divisors (30108179840).

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

20468382160 is a wasteful number, since it uses less digits than its factorization.

20468382160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56248 (or 56242 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 20468382160 in words is "twenty billion, four hundred sixty-eight million, three hundred eighty-two thousand, one hundred sixty".