9985018700800 has 1056 divisors, whose sum is σ = 29990724470784. Its totient is φ = 3247915008000.

The previous prime is 9985018700777. The next prime is 9985018700801. The reversal of 9985018700800 is 80078105899.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (9985018700801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22539545379 + ... + 22539545821.

It is an arithmetic number, because the mean of its divisors is an integer number (28400307264).

Almost surely, 2^{9985018700800} 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 9985018700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14995362235392).

9985018700800 is an abundant number, since it is smaller than the sum of its proper divisors (20005705769984).

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

9985018700800 is a wasteful number, since it uses less digits than its factorization.

9985018700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 55.

The spelling of 9985018700800 in words is "nine trillion, nine hundred eighty-five billion, eighteen million, seven hundred thousand, eight hundred".