11090338560 has 1080 divisors, whose sum is σ = 48213340560. Its totient is φ = 2424619008.

The previous prime is 11090338529. The next prime is 11090338561. The reversal of 11090338560 is 6583309011.

It is a happy number.

11090338560 is a `hidden beast` number, since 1 + 1 + 0 + 90 + 3 + 3 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is not an unprimeable number, because it can be changed into a prime (11090338561) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 187971811 + ... + 187971869.

It is an arithmetic number, because the mean of its divisors is an integer number (44641982).

Almost surely, 2^11090338560 is an apocalyptic number.

11090338560 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 11090338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24106670280).

11090338560 is an abundant number, since it is smaller than the sum of its proper divisors (37123002000).

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

11090338560 is an equidigital number, since it uses as much as digits as its factorization.

11090338560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 11090338560 in words is "eleven billion, ninety million, three hundred thirty-eight thousand, five hundred sixty".