11097146880 has 320 divisors, whose sum is σ = 40697395200. Its totient is φ = 2863226880.

The previous prime is 11097146857. The next prime is 11097146887. The reversal of 11097146880 is 8864179011.

It is a happy number.

11097146880 is a `hidden beast` number, since 1 + 109 + 7 + 1 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11097146887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2140131 + ... + 2145309.

It is an arithmetic number, because the mean of its divisors is an integer number (127179360).

Almost surely, 2^11097146880 is an apocalyptic number.

11097146880 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 11097146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20348697600).

11097146880 is an abundant number, since it is smaller than the sum of its proper divisors (29600248320).

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

11097146880 is an equidigital number, since it uses as much as digits as its factorization.

11097146880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5242 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 11097146880 in words is "eleven billion, ninety-seven million, one hundred forty-six thousand, eight hundred eighty".