9935055000 has 960 divisors, whose sum is σ = 40834553760. Its totient is φ = 2239488000.

The previous prime is 9935054977. The next prime is 9935055007. The reversal of 9935055000 is 5505399.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2775 × 2295 × 1560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9935055007) 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 239 ways as a sum of consecutive naturals, for example, 268514982 + ... + 268515018.

Almost surely, 2^9935055000 is an apocalyptic number.

9935055000 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 9935055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20417276880).

9935055000 is an abundant number, since it is smaller than the sum of its proper divisors (30899498760).

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

9935055000 is a wasteful number, since it uses less digits than its factorization.

9935055000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 30375, while the sum is 36.

The square root of 9935055000 is about 99674.7460493379. The cubic root of 9935055000 is about 2149.7605646468.

The spelling of 9935055000 in words is "nine billion, nine hundred thirty-five million, fifty-five thousand".