11059405560 has 192 divisors, whose sum is σ = 42864007680. Its totient is φ = 2417944320.

The previous prime is 11059405549. The next prime is 11059405571. The reversal of 11059405560 is 6550495011.

11059405560 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 94 + 0 + 5 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (11059405549) and next prime (11059405571).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37446 + ... + 153365.

It is an arithmetic number, because the mean of its divisors is an integer number (223250040).

Almost surely, 2^11059405560 is an apocalyptic number.

11059405560 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 11059405560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21432003840).

11059405560 is an abundant number, since it is smaller than the sum of its proper divisors (31804602120).

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

11059405560 is a wasteful number, since it uses less digits than its factorization.

11059405560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190858 (or 190851 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 11059405560 in words is "eleven billion, fifty-nine million, four hundred five thousand, five hundred sixty".