9109793589120 has 960 divisors, whose sum is σ = 39836191942800. Its totient is φ = 1972636581888.

The previous prime is 9109793589107. The next prime is 9109793589131. The reversal of 9109793589120 is 219853979019.

9109793589120 is a `hidden beast` number, since 9 + 109 + 79 + 358 + 91 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48168664 + ... + 48357416.

Almost surely, 2^{9109793589120} is an apocalyptic number.

9109793589120 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 9109793589120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19918095971400).

9109793589120 is an abundant number, since it is smaller than the sum of its proper divisors (30726398353680).

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

9109793589120 is a wasteful number, since it uses less digits than its factorization.

9109793589120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188817 (or 188789 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 63.

The spelling of 9109793589120 in words is "nine trillion, one hundred nine billion, seven hundred ninety-three million, five hundred eighty-nine thousand, one hundred twenty".