9258853728960 has 2016 divisors, whose sum is σ = 38105117616384. Its totient is φ = 2121541632000.

The previous prime is 9258853728953. The next prime is 9258853729093. The reversal of 9258853728960 is 698273588529.

9258853728960 is a `hidden beast` number, since 9 + 2 + 5 + 8 + 8 + 537 + 2 + 89 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 43880823255 + ... + 43880823465.

It is an arithmetic number, because the mean of its divisors is an integer number (18901348024).

Almost surely, 2^{9258853728960} is an apocalyptic number.

9258853728960 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 9258853728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19052558808192).

9258853728960 is an abundant number, since it is smaller than the sum of its proper divisors (28846263887424).

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

9258853728960 is a wasteful number, since it uses less digits than its factorization.

9258853728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 9258853728960 in words is "nine trillion, two hundred fifty-eight billion, eight hundred fifty-three million, seven hundred twenty-eight thousand, nine hundred sixty".