9985680000 has 800 divisors, whose sum is σ = 39327536160. Its totient is φ = 2509056000.

The previous prime is 9985679999. The next prime is 9985680013. The reversal of 9985680000 is 865899.

It is a tau number, because it is divible by the number of its divisors (800).

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 149039967 + ... + 149040033.

Almost surely, 2^9985680000 is an apocalyptic number.

9985680000 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 9985680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19663768080).

9985680000 is an abundant number, since it is smaller than the sum of its proper divisors (29341856160).

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

9985680000 is an equidigital number, since it uses as much as digits as its factorization.

9985680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 9985680000 is about 99928.3743488305. The cubic root of 9985680000 is about 2153.4058152672.

The spelling of 9985680000 in words is "nine billion, nine hundred eighty-five million, six hundred eighty thousand".