9985553730 has 192 divisors, whose sum is σ = 27861470208. Its totient is φ = 2475432960.

The previous prime is 9985553729. The next prime is 9985553771. The reversal of 9985553730 is 373555899.

It is a happy number.

9985553730 is a `hidden beast` number, since 9 + 9 + 85 + 553 + 7 + 3 + 0 = 666.

9985553730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9985553730² (a number of 21 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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19165870 + ... + 19166390.

It is an arithmetic number, because the mean of its divisors is an integer number (145111824).

Almost surely, 2^9985553730 is an apocalyptic number.

9985553730 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9985553730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13930735104).

9985553730 is an abundant number, since it is smaller than the sum of its proper divisors (17875916478).

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

9985553730 is a wasteful number, since it uses less digits than its factorization.

9985553730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The square root of 9985553730 is about 99927.7425443005. The cubic root of 9985553730 is about 2153.3967385461.

The spelling of 9985553730 in words is "nine billion, nine hundred eighty-five million, five hundred fifty-three thousand, seven hundred thirty".