9875655000 has 320 divisors, whose sum is σ = 34548940800. Its totient is φ = 2612880000.

The previous prime is 9875654939. The next prime is 9875655007. The reversal of 9875655000 is 5565789.

9875655000 is a `hidden beast` number, since 9 + 87 + 5 + 65 + 500 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9875655007) 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 79 ways as a sum of consecutive naturals, for example, 25784809 + ... + 25785191.

It is an arithmetic number, because the mean of its divisors is an integer number (107965440).

Almost surely, 2^9875655000 is an apocalyptic number.

9875655000 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 9875655000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17274470400).

9875655000 is an abundant number, since it is smaller than the sum of its proper divisors (24673285800).

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

9875655000 is a wasteful number, since it uses less digits than its factorization.

9875655000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 9875655000 is about 99376.3301797767. The cubic root of 9875655000 is about 2145.4676470716.

The spelling of 9875655000 in words is "nine billion, eight hundred seventy-five million, six hundred fifty-five thousand".