11556568816 has 90 divisors (see below), whose sum is σ = 25591129920. Its totient is φ = 5052647808.

The previous prime is 11556568783. The next prime is 11556568831. The reversal of 11556568816 is 61886565511.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 970225 + ... + 982063.

It is an arithmetic number, because the mean of its divisors is an integer number (284345888).

Almost surely, 2^11556568816 is an apocalyptic number.

11556568816 is a gapful number since it is divisible by the number (16) 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 11556568816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12795564960).

11556568816 is an abundant number, since it is smaller than the sum of its proper divisors (14034561104).

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

11556568816 is a wasteful number, since it uses less digits than its factorization.

11556568816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11911 (or 11873 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 52.

The spelling of 11556568816 in words is "eleven billion, five hundred fifty-six million, five hundred sixty-eight thousand, eight hundred sixteen".