9852135935040 has 392 divisors, whose sum is σ = 40199443502400. Its totient is φ = 2251916411904.

The previous prime is 9852135935027. The next prime is 9852135935071. The reversal of 9852135935040 is 405395312589.

9852135935040 is a `hidden beast` number, since 9 + 8 + 5 + 2 + 1 + 3 + 593 + 5 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1383690 + ... + 4649609.

Almost surely, 2^{9852135935040} is an apocalyptic number.

9852135935040 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 9852135935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20099721751200).

9852135935040 is an abundant number, since it is smaller than the sum of its proper divisors (30347307567360).

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

9852135935040 is an equidigital number, since it uses as much as digits as its factorization.

9852135935040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6033341 (or 6033316 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 9852135935040 in words is "nine trillion, eight hundred fifty-two billion, one hundred thirty-five million, nine hundred thirty-five thousand, forty".