9985982400 has 336 divisors, whose sum is σ = 36686540800. Its totient is φ = 2642181120.

The previous prime is 9985982341. The next prime is 9985982443. The reversal of 9985982400 is 42895899.

9985982400 is a `hidden beast` number, since 9 + 9 + 8 + 598 + 2 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 6003969 + ... + 6005631.

Almost surely, 2^9985982400 is an apocalyptic number.

9985982400 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 9985982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18343270400).

9985982400 is an abundant number, since it is smaller than the sum of its proper divisors (26700558400).

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

9985982400 is a wasteful number, since it uses less digits than its factorization.

9985982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 9985982400 is about 99929.8874211314. The cubic root of 9985982400 is about 2153.4275525065.

The spelling of 9985982400 in words is "nine billion, nine hundred eighty-five million, nine hundred eighty-two thousand, four hundred".