9505541160 has 640 divisors, whose sum is σ = 36883123200. Its totient is φ = 2179768320.

The previous prime is 9505541159. The next prime is 9505541167. The reversal of 9505541160 is 611455059.

9505541160 is a `hidden beast` number, since 9 + 50 + 5 + 541 + 1 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (9505541167) 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 159 ways as a sum of consecutive naturals, for example, 32441974 + ... + 32442266.

It is an arithmetic number, because the mean of its divisors is an integer number (57629880).

Almost surely, 2^9505541160 is an apocalyptic number.

9505541160 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 9505541160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18441561600).

9505541160 is an abundant number, since it is smaller than the sum of its proper divisors (27377582040).

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

9505541160 is a wasteful number, since it uses less digits than its factorization.

9505541160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 9505541160 is about 97496.3648553114. The cubic root of 9505541160 is about 2118.3234906227.

The spelling of 9505541160 in words is "nine billion, five hundred five million, five hundred forty-one thousand, one hundred sixty".