11561522336 has 192 divisors, whose sum is σ = 29364249600. Its totient is φ = 4357656576.

The previous prime is 11561522321. The next prime is 11561522369. The reversal of 11561522336 is 63322516511.

It is a junction number, because it is equal to n+sod(n) for n = 11561522296 and 11561522305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6670526 + ... + 6672258.

It is an arithmetic number, because the mean of its divisors is an integer number (152938800).

Almost surely, 2^11561522336 is an apocalyptic number.

11561522336 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 11561522336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14682124800).

11561522336 is an abundant number, since it is smaller than the sum of its proper divisors (17802727264).

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

11561522336 is a wasteful number, since it uses less digits than its factorization.

11561522336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1863 counting only the distinct ones).

The product of its digits is 32400, while the sum is 35.

The spelling of 11561522336 in words is "eleven billion, five hundred sixty-one million, five hundred twenty-two thousand, three hundred thirty-six".