9895468800 has 864 divisors, whose sum is σ = 40731393024. Its totient is φ = 2064384000.

The previous prime is 9895468799. The next prime is 9895468813. The reversal of 9895468800 is 88645989.

It is a congruent number.

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, 139372765 + ... + 139372835.

It is an arithmetic number, because the mean of its divisors is an integer number (47142816).

Almost surely, 2^9895468800 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 9895468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20365696512).

9895468800 is an abundant number, since it is smaller than the sum of its proper divisors (30835924224).

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

9895468800 is a wasteful number, since it uses less digits than its factorization.

9895468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The square root of 9895468800 is about 99475.9709678674. The cubic root of 9895468800 is about 2146.9015255988.

The spelling of 9895468800 in words is "nine billion, eight hundred ninety-five million, four hundred sixty-eight thousand, eight hundred".