11556561408 has 240 divisors, whose sum is σ = 36022203360. Its totient is φ = 3282714624.

The previous prime is 11556561353. The next prime is 11556561421. The reversal of 11556561408 is 80416565511.

It is a happy number.

It is a super-2 number, since 2×11556561408² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 11556561408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17536183 + ... + 17536841.

It is an arithmetic number, because the mean of its divisors is an integer number (150092514).

Almost surely, 2^11556561408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11556561408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18011101680).

11556561408 is an abundant number, since it is smaller than the sum of its proper divisors (24465641952).

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

11556561408 is an equidigital number, since it uses as much as digits as its factorization.

11556561408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 42.

The spelling of 11556561408 in words is "eleven billion, five hundred fifty-six million, five hundred sixty-one thousand, four hundred eight".