989788509250200 has 1152 divisors, whose sum is σ = 3867313251110400. Its totient is φ = 224342784000000.

The previous prime is 989788509250199. The next prime is 989788509250207. The reversal of 989788509250200 is 2052905887989.

989788509250200 is a `hidden beast` number, since 9 + 8 + 9 + 78 + 8 + 509 + 25 + 0 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989788509250207) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11816776320 + ... + 11816860080.

It is an arithmetic number, because the mean of its divisors is an integer number (3357042752700).

Almost surely, 2^{989788509250200} is an apocalyptic number.

989788509250200 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 989788509250200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933656625555200).

989788509250200 is an abundant number, since it is smaller than the sum of its proper divisors (2877524741860200).

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

989788509250200 is a wasteful number, since it uses less digits than its factorization.

989788509250200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84225 (or 84213 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 72.

The spelling of 989788509250200 in words is "nine hundred eighty-nine trillion, seven hundred eighty-eight billion, five hundred nine million, two hundred fifty thousand, two hundred".