9920160000 has 405 divisors, whose sum is σ = 36177200059. Its totient is φ = 2613504000.

The previous prime is 9920159993. The next prime is 9920160001. The reversal of 9920160000 is 610299.

It is a happy number.

The square root of 9920160000 is 99600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 777740544 + 9142419456 = 27888^2 + 95616^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9920160001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 119519959 + ... + 119520041.

Almost surely, 2^9920160000 is an apocalyptic number.

9920160000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9920160000 is the 99600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9920160000

9920160000 is an abundant number, since it is smaller than the sum of its proper divisors (26257040059).

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

9920160000 is an frugal number, since it uses more digits than its factorization.

9920160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The cubic root of 9920160000 is about 2148.6856939273.

Adding to 9920160000 its reverse (610299), we get a palindrome (9920770299).

It can be divided in two parts, 99201 and 60000, that added together give a square (159201 = 399²).

The spelling of 9920160000 in words is "nine billion, nine hundred twenty million, one hundred sixty thousand".