9893856000 has 288 divisors, whose sum is σ = 37559628288. Its totient is φ = 2261299200.

The previous prime is 9893855977. The next prime is 9893856017. The reversal of 9893856000 is 6583989.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 664639 + ... + 679361.

It is an arithmetic number, because the mean of its divisors is an integer number (130415376).

Almost surely, 2^9893856000 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 9893856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18779814144).

9893856000 is an abundant number, since it is smaller than the sum of its proper divisors (27665772288).

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

9893856000 is a wasteful number, since it uses less digits than its factorization.

9893856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14764 (or 14740 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 9893856000 is about 99467.8641572242. The cubic root of 9893856000 is about 2146.7848826187.

The spelling of 9893856000 in words is "nine billion, eight hundred ninety-three million, eight hundred fifty-six thousand".