11041505280 has 440 divisors, whose sum is σ = 42630895692. Its totient is φ = 2717908992.

The previous prime is 11041505243. The next prime is 11041505323. The reversal of 11041505280 is 8250514011.

11041505280 is a `hidden beast` number, since 110 + 41 + 505 + 2 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10277093376 + 764411904 = 101376^2 + 27648^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 849346554 + ... + 849346566.

Almost surely, 2^11041505280 is an apocalyptic number.

11041505280 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 11041505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21315447846).

11041505280 is an abundant number, since it is smaller than the sum of its proper divisors (31589390412).

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

11041505280 is an frugal number, since it uses more digits than its factorization.

11041505280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The spelling of 11041505280 in words is "eleven billion, forty-one million, five hundred five thousand, two hundred eighty".