11050506560 has 56 divisors (see below), whose sum is σ = 26416604520. Its totient is φ = 4402970624.

The previous prime is 11050506487. The next prime is 11050506587. The reversal of 11050506560 is 6560505011.

It can be written as a sum of positive squares in 4 ways, for example, as 4172126464 + 6878380096 = 64592^2 + 82936^2 .

It is a super-2 number, since 2×11050506560² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15056 + ... + 149424.

Almost surely, 2^11050506560 is an apocalyptic number.

11050506560 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 11050506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208302260).

11050506560 is an abundant number, since it is smaller than the sum of its proper divisors (15366097960).

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

11050506560 is a wasteful number, since it uses less digits than its factorization.

11050506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134643 (or 134633 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 11050506560 in words is "eleven billion, fifty million, five hundred six thousand, five hundred sixty".