11126044560 has 160 divisors (see below), whose sum is σ = 34893302400. Its totient is φ = 2932531200.

The previous prime is 11126044543. The next prime is 11126044571. The reversal of 11126044560 is 6544062111.

It is a super-2 number, since 2×11126044560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8617515 + ... + 8618805.

It is an arithmetic number, because the mean of its divisors is an integer number (218083140).

Almost surely, 2^11126044560 is an apocalyptic number.

11126044560 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 11126044560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17446651200).

11126044560 is an abundant number, since it is smaller than the sum of its proper divisors (23767257840).

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

11126044560 is a wasteful number, since it uses less digits than its factorization.

11126044560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 11126044560 in words is "eleven billion, one hundred twenty-six million, forty-four thousand, five hundred sixty".