11060566560 has 288 divisors, whose sum is σ = 38512354608. Its totient is φ = 2890137600.

The previous prime is 11060566549. The next prime is 11060566591. The reversal of 11060566560 is 6566506011.

It can be written as a sum of positive squares in 8 ways, for example, as 3456028944 + 7604537616 = 58788^2 + 87204^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×11060566560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 16434384 + ... + 16435056.

Almost surely, 2^11060566560 is an apocalyptic number.

11060566560 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 11060566560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19256177304).

11060566560 is an abundant number, since it is smaller than the sum of its proper divisors (27451788048).

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

11060566560 is a wasteful number, since it uses less digits than its factorization.

11060566560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 11060566560 in words is "eleven billion, sixty million, five hundred sixty-six thousand, five hundred sixty".