11005554240 has 140 divisors (see below), whose sum is σ = 39148784796. Its totient is φ = 2934807552.

The previous prime is 11005554233. The next prime is 11005554323. The reversal of 11005554240 is 4245550011.

11005554240 is a `hidden beast` number, since 1 + 100 + 5 + 554 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2149991424 + 8855562816 = 46368^2 + 94104^2 .

It is a super-2 number, since 2×11005554240² (a number of 21 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 186379 + ... + 238218.

Almost surely, 2^11005554240 is an apocalyptic number.

11005554240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11005554240 is an abundant number, since it is smaller than the sum of its proper divisors (28143230556).

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

11005554240 is an equidigital number, since it uses as much as digits as its factorization.

11005554240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424626 (or 424607 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 11005554240 in words is "eleven billion, five million, five hundred fifty-four thousand, two hundred forty".