11090797120 has 224 divisors, whose sum is σ = 29667708000. Its totient is φ = 3920953344.

The previous prime is 11090797117. The next prime is 11090797121. The reversal of 11090797120 is 2179709011.

It can be written as a sum of positive squares in 16 ways, for example, as 9418314304 + 1672482816 = 97048^2 + 40896^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11090797120.

It is not an unprimeable number, because it can be changed into a prime (11090797121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17975052 + ... + 17975668.

It is an arithmetic number, because the mean of its divisors is an integer number (132445125).

Almost surely, 2^11090797120 is an apocalyptic number.

11090797120 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 11090797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14833854000).

11090797120 is an abundant number, since it is smaller than the sum of its proper divisors (18576910880).

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

11090797120 is a wasteful number, since it uses less digits than its factorization.

11090797120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 37.

The spelling of 11090797120 in words is "eleven billion, ninety million, seven hundred ninety-seven thousand, one hundred twenty".