9565413120 has 648 divisors, whose sum is σ = 36931147344. Its totient is φ = 2364899328.

The previous prime is 9565413107. The next prime is 9565413199. The reversal of 9565413120 is 213145659.

9565413120 is a `hidden beast` number, since 9 + 565 + 41 + 31 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 142767327 + ... + 142767393.

Almost surely, 2^9565413120 is an apocalyptic number.

9565413120 is a gapful number since it is divisible by the number (90) 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 9565413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18465573672).

9565413120 is an abundant number, since it is smaller than the sum of its proper divisors (27365734224).

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

9565413120 is an frugal number, since it uses more digits than its factorization.

9565413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 9565413120 is about 97802.9300174591. The cubic root of 9565413120 is about 2122.7617028006.

Adding to 9565413120 its reverse (213145659), we get a palindrome (9778558779).

The spelling of 9565413120 in words is "nine billion, five hundred sixty-five million, four hundred thirteen thousand, one hundred twenty".