11097909688320 has 4032 divisors, whose sum is σ = 53760722258880. Its totient is φ = 2132709212160.

The previous prime is 11097909688319. The next prime is 11097909688429. The reversal of 11097909688320 is 2388690979011.

It is a tau number, because it is divible by the number of its divisors (4032).

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 (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 357997086705 + ... + 357997086735.

It is an arithmetic number, because the mean of its divisors is an integer number (13333512465).

Almost surely, 2^{11097909688320} is an apocalyptic number.

11097909688320 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 11097909688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26880361129440).

11097909688320 is an abundant number, since it is smaller than the sum of its proper divisors (42662812570560).

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

11097909688320 is an equidigital number, since it uses as much as digits as its factorization.

11097909688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 11097909688320 in words is "eleven trillion, ninety-seven billion, nine hundred nine million, six hundred eighty-eight thousand, three hundred twenty".