1092017272320 has 2240 divisors, whose sum is σ = 4688669905920. Its totient is φ = 241219731456.

The previous prime is 1092017272289. The next prime is 1092017272349. The reversal of 1092017272320 is 232727102901.

1092017272320 is a `hidden beast` number, since 10 + 92 + 0 + 172 + 72 + 320 = 666.

It is a super-3 number, since 3×1092017272320³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 223 ways as a sum of consecutive naturals, for example, 10602109389 + ... + 10602109491.

It is an arithmetic number, because the mean of its divisors is an integer number (2093156208).

Almost surely, 2^{1092017272320} is an apocalyptic number.

1092017272320 is a gapful number since it is divisible by the number (10) 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 1092017272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344334952960).

1092017272320 is an abundant number, since it is smaller than the sum of its proper divisors (3596652633600).

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

1092017272320 is a wasteful number, since it uses less digits than its factorization.

1092017272320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 1092017272320 in words is "one trillion, ninety-two billion, seventeen million, two hundred seventy-two thousand, three hundred twenty".