11008247040 has 216 divisors, whose sum is σ = 43528762368. Its totient is φ = 2516152320.

The previous prime is 11008247039. The next prime is 11008247059. The reversal of 11008247040 is 4074280011.

11008247040 is a `hidden beast` number, since 110 + 0 + 82 + 470 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11008246995 and 11008247013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12385 + ... + 148895.

It is an arithmetic number, because the mean of its divisors is an integer number (201522048).

Almost surely, 2^11008247040 is an apocalyptic number.

11008247040 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 11008247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21764381184).

11008247040 is an abundant number, since it is smaller than the sum of its proper divisors (32520515328).

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

11008247040 is a wasteful number, since it uses less digits than its factorization.

11008247040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136545 (or 136528 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 11008247040 in words is "eleven billion, eight million, two hundred forty-seven thousand, forty".