20403200160 has 1080 divisors, whose sum is σ = 89396293140. Its totient is φ = 4368494592.

The previous prime is 20403200137. The next prime is 20403200201. The reversal of 20403200160 is 6100230402.

It is a happy number.

20403200160 is a `hidden beast` number, since 2 + 0 + 403 + 200 + 1 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19279877904 + 1123322256 = 138852^2 + 33516^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 229249396 + ... + 229249484.

Almost surely, 2^20403200160 is an apocalyptic number.

20403200160 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 20403200160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44698146570).

20403200160 is an abundant number, since it is smaller than the sum of its proper divisors (68993092980).

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

20403200160 is a wasteful number, since it uses less digits than its factorization.

20403200160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20403200160 its reverse (6100230402), we get a palindrome (26503430562).

The spelling of 20403200160 in words is "twenty billion, four hundred three million, two hundred thousand, one hundred sixty".