11556610560 has 240 divisors, whose sum is σ = 43663276800. Its totient is φ = 2801541120.

The previous prime is 11556610553. The next prime is 11556610561. The reversal of 11556610560 is 6501665511.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (11556610561) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 230641 + ... + 276239.

It is an arithmetic number, because the mean of its divisors is an integer number (181930320).

Almost surely, 2^11556610560 is an apocalyptic number.

11556610560 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 11556610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21831638400).

11556610560 is an abundant number, since it is smaller than the sum of its proper divisors (32106666240).

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

11556610560 is a wasteful number, since it uses less digits than its factorization.

11556610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45639 (or 45620 counting only the distinct ones).

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

The spelling of 11556610560 in words is "eleven billion, five hundred fifty-six million, six hundred ten thousand, five hundred sixty".