9993093120 has 384 divisors, whose sum is σ = 36068366880. Its totient is φ = 2654208000.

The previous prime is 9993093113. The next prime is 9993093137. The reversal of 9993093120 is 213903999.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39812995 + ... + 39813245.

Almost surely, 2^9993093120 is an apocalyptic number.

9993093120 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 9993093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18034183440).

9993093120 is an abundant number, since it is smaller than the sum of its proper divisors (26075273760).

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

9993093120 is an frugal number, since it uses more digits than its factorization.

9993093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 45.

The square root of 9993093120 is about 99965.4596348159. The cubic root of 9993093120 is about 2153.9385617287.

The spelling of 9993093120 in words is "nine billion, nine hundred ninety-three million, ninety-three thousand, one hundred twenty".