8985362443200 has 2688 divisors, whose sum is σ = 41621586048000. Its totient is φ = 1852504473600.

The previous prime is 8985362443171. The next prime is 8985362443207. The reversal of 8985362443200 is 23442635898.

8985362443200 is a `hidden beast` number, since 8 + 9 + 8 + 5 + 3 + 624 + 4 + 3 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8985362443207) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4342851766 + ... + 4342853834.

It is an arithmetic number, because the mean of its divisors is an integer number (15484221000).

Almost surely, 2^{8985362443200} is an apocalyptic number.

8985362443200 is a gapful number since it is divisible by the number (80) 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 8985362443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20810793024000).

8985362443200 is an abundant number, since it is smaller than the sum of its proper divisors (32636223604800).

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

8985362443200 is a wasteful number, since it uses less digits than its factorization.

8985362443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 8985362443200 in words is "eight trillion, nine hundred eighty-five billion, three hundred sixty-two million, four hundred forty-three thousand, two hundred".