985618365120 has 336 divisors, whose sum is σ = 3520405691712. Its totient is φ = 252906209280.

The previous prime is 985618365119. The next prime is 985618365157. The reversal of 985618365120 is 21563816589.

985618365120 is a `hidden beast` number, since 9 + 8 + 5 + 618 + 3 + 6 + 5 + 12 + 0 = 666.

It is a super-2 number, since 2×985618365120² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8562669 + ... + 8677011.

It is an arithmetic number, because the mean of its divisors is an integer number (10477397892).

Almost surely, 2^985618365120 is an apocalyptic number.

985618365120 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 985618365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760202845856).

985618365120 is an abundant number, since it is smaller than the sum of its proper divisors (2534787326592).

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

985618365120 is a wasteful number, since it uses less digits than its factorization.

985618365120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114480 (or 114467 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 985618365120 in words is "nine hundred eighty-five billion, six hundred eighteen million, three hundred sixty-five thousand, one hundred twenty".