9505272828240 has 960 divisors, whose sum is σ = 39450849984000. Its totient is φ = 2046488371200.

The previous prime is 9505272828229. The next prime is 9505272828251. The reversal of 9505272828240 is 428282725059.

9505272828240 is a `hidden beast` number, since 9 + 50 + 5 + 272 + 8 + 282 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (9505272828229) and next prime (9505272828251).

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 191 ways as a sum of consecutive naturals, for example, 293619255 + ... + 293651625.

It is an arithmetic number, because the mean of its divisors is an integer number (41094635400).

Almost surely, 2^{9505272828240} is an apocalyptic number.

9505272828240 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 9505272828240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19725424992000).

9505272828240 is an abundant number, since it is smaller than the sum of its proper divisors (29945577155760).

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

9505272828240 is a wasteful number, since it uses less digits than its factorization.

9505272828240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32481 (or 32458 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 9505272828240 in words is "nine trillion, five hundred five billion, two hundred seventy-two million, eight hundred twenty-eight thousand, two hundred forty".