985422348565200 has 1620 divisors, whose sum is σ = 4321616072181408. Its totient is φ = 207234120038400.

The previous prime is 985422348565129. The next prime is 985422348565271. The reversal of 985422348565200 is 2565843224589.

985422348565200 is a `hidden beast` number, since 9 + 8 + 5 + 4 + 2 + 2 + 3 + 48 + 565 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (985422348565129) and next prime (985422348565271).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 9152107365 + ... + 9152215035.

Almost surely, 2^{985422348565200} is an apocalyptic number.

985422348565200 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 985422348565200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160808036090704).

985422348565200 is an abundant number, since it is smaller than the sum of its proper divisors (3336193723616208).

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

985422348565200 is a wasteful number, since it uses less digits than its factorization.

985422348565200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108042 (or 108008 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 985422348565200 in words is "nine hundred eighty-five trillion, four hundred twenty-two billion, three hundred forty-eight million, five hundred sixty-five thousand, two hundred".