11095305480 has 640 divisors, whose sum is σ = 45140705280. Its totient is φ = 2390653440.

The previous prime is 11095305461. The next prime is 11095305497. The reversal of 11095305480 is 8450359011.

11095305480 is a `hidden beast` number, since 1 + 109 + 5 + 3 + 0 + 548 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30232257 + ... + 30232623.

It is an arithmetic number, because the mean of its divisors is an integer number (70532352).

Almost surely, 2^11095305480 is an apocalyptic number.

11095305480 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 11095305480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22570352640).

11095305480 is an abundant number, since it is smaller than the sum of its proper divisors (34045399800).

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

11095305480 is a wasteful number, since it uses less digits than its factorization.

11095305480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 11095305480 in words is "eleven billion, ninety-five million, three hundred five thousand, four hundred eighty".