9856535040 has 240 divisors, whose sum is σ = 37240178976. Its totient is φ = 2389401600.

The previous prime is 9856534999. The next prime is 9856535047. The reversal of 9856535040 is 405356589.

9856535040 is a `hidden beast` number, since 9 + 85 + 65 + 3 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9856535047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233995 + ... + 272885.

Almost surely, 2^9856535040 is an apocalyptic number.

9856535040 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 9856535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18620089488).

9856535040 is an abundant number, since it is smaller than the sum of its proper divisors (27383643936).

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

9856535040 is a wasteful number, since it uses less digits than its factorization.

9856535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38931 (or 38912 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 9856535040 is about 99280.0838033490. The cubic root of 9856535040 is about 2144.0821606593.

The spelling of 9856535040 in words is "nine billion, eight hundred fifty-six million, five hundred thirty-five thousand, forty".