9985750992 has 180 divisors, whose sum is σ = 32221287904. Its totient is φ = 2828010240.

The previous prime is 9985750991. The next prime is 9985750993. The reversal of 9985750992 is 2990575899.

9985750992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9985750991) and next prime (9985750993).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9985750991) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 30168267 + ... + 30168597.

Almost surely, 2^9985750992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9985750992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16110643952).

9985750992 is an abundant number, since it is smaller than the sum of its proper divisors (22235536912).

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

9985750992 is a wasteful number, since it uses less digits than its factorization.

9985750992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 63.

The square root of 9985750992 is about 99928.7295626238. The cubic root of 9985750992 is about 2153.4109183823.

The spelling of 9985750992 in words is "nine billion, nine hundred eighty-five million, seven hundred fifty thousand, nine hundred ninety-two".