11305553040 has 60 divisors (see below), whose sum is σ = 37967818044. Its totient is φ = 3014813952.

The previous prime is 11305552987. The next prime is 11305553099. The reversal of 11305553040 is 4035550311.

11305553040 is a `hidden beast` number, since 1 + 1 + 305 + 55 + 304 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4554630144 + 6750922896 = 67488^2 + 82164^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 11305552995 and 11305553013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7850359 + ... + 7851798.

Almost surely, 2^11305553040 is an apocalyptic number.

11305553040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11305553040 is an abundant number, since it is smaller than the sum of its proper divisors (26662265004).

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

11305553040 is a wasteful number, since it uses less digits than its factorization.

11305553040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15702176 (or 15702167 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 11305553040 in words is "eleven billion, three hundred five million, five hundred fifty-three thousand, forty".