985242009600 has 750 divisors, whose sum is σ = 3775880120430. Its totient is φ = 253671505920.

The previous prime is 985242009589. The next prime is 985242009611. The reversal of 985242009600 is 6900242589.

985242009600 is a `hidden beast` number, since 98 + 52 + 420 + 0 + 96 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (985242009589) and next prime (985242009611).

It can be written as a sum of positive squares in 3 ways, for example, as 66588770304 + 918653239296 = 258048^2 + 958464^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 33973862386 + ... + 33973862414.

Almost surely, 2^985242009600 is an apocalyptic number.

985242009600 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 985242009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887940060215).

985242009600 is an abundant number, since it is smaller than the sum of its proper divisors (2790638110830).

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

985242009600 is an frugal number, since it uses more digits than its factorization.

985242009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 985242009600 in words is "nine hundred eighty-five billion, two hundred forty-two million, nine thousand, six hundred".