20090160720 has 1440 divisors, whose sum is σ = 91692881280. Its totient is φ = 3901685760.

The previous prime is 20090160719. The next prime is 20090160751. The reversal of 20090160720 is 2706109002.

It is a super-2 number, since 2×20090160720² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 467213019 + ... + 467213061.

It is an arithmetic number, because the mean of its divisors is an integer number (63675612).

Almost surely, 2^20090160720 is an apocalyptic number.

20090160720 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 20090160720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45846440640).

20090160720 is an abundant number, since it is smaller than the sum of its proper divisors (71602720560).

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

20090160720 is a wasteful number, since it uses less digits than its factorization.

20090160720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 20090160720 its reverse (2706109002), we get a palindrome (22796269722).

The spelling of 20090160720 in words is "twenty billion, ninety million, one hundred sixty thousand, seven hundred twenty".