9819600000 has 576 divisors, whose sum is σ = 38151933120. Its totient is φ = 2231040000.

The previous prime is 9819599987. The next prime is 9819600017. The reversal of 9819600000 is 69189.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58799917 + ... + 58800083.

It is an arithmetic number, because the mean of its divisors is an integer number (66235995).

Almost surely, 2^9819600000 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 9819600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19075966560).

9819600000 is an abundant number, since it is smaller than the sum of its proper divisors (28332333120).

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

9819600000 is an equidigital number, since it uses as much as digits as its factorization.

9819600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 9819600000 is about 99093.8948674438. The cubic root of 9819600000 is about 2141.4006610596.

Adding to 9819600000 its reverse (69189), we get a palindrome (9819669189).

The spelling of 9819600000 in words is "nine billion, eight hundred nineteen million, six hundred thousand".