9885024000 has 576 divisors, whose sum is σ = 38684580480. Its totient is φ = 2477260800.

The previous prime is 9885023989. The next prime is 9885024029. The reversal of 9885024000 is 4205889.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14687664 + ... + 14688336.

It is an arithmetic number, because the mean of its divisors is an integer number (67160730).

Almost surely, 2^9885024000 is an apocalyptic number.

9885024000 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 9885024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19342290240).

9885024000 is an abundant number, since it is smaller than the sum of its proper divisors (28799556480).

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

9885024000 is a wasteful number, since it uses less digits than its factorization.

9885024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 9885024000 is about 99423.4579965915. The cubic root of 9885024000 is about 2146.1458985627.

Adding to 9885024000 its reverse (4205889), we get a palindrome (9889229889).

The spelling of 9885024000 in words is "nine billion, eight hundred eighty-five million, twenty-four thousand".