9915685800 has 384 divisors, whose sum is σ = 33948720000. Its totient is φ = 2384363520.

The previous prime is 9915685799. The next prime is 9915685859. The reversal of 9915685800 is 85865199.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29423232 + ... + 29423568.

It is an arithmetic number, because the mean of its divisors is an integer number (88408125).

Almost surely, 2^9915685800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9915685800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16974360000).

9915685800 is an abundant number, since it is smaller than the sum of its proper divisors (24033034200).

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

9915685800 is a wasteful number, since it uses less digits than its factorization.

9915685800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 51.

The square root of 9915685800 is about 99577.5366234775. The cubic root of 9915685800 is about 2148.3626112616.

The spelling of 9915685800 in words is "nine billion, nine hundred fifteen million, six hundred eighty-five thousand, eight hundred".