11566403215920 has 960 divisors, whose sum is σ = 47465199175680. Its totient is φ = 2463923404800.

The previous prime is 11566403215909. The next prime is 11566403215987. The reversal of 11566403215920 is 2951230466511.

It is a happy number.

11566403215920 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 6 + 403 + 215 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7419116101 + ... + 7419117659.

It is an arithmetic number, because the mean of its divisors is an integer number (49442915808).

Almost surely, 2^{11566403215920} is an apocalyptic number.

11566403215920 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 11566403215920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23732599587840).

11566403215920 is an abundant number, since it is smaller than the sum of its proper divisors (35898795959760).

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

11566403215920 is a wasteful number, since it uses less digits than its factorization.

11566403215920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 11566403215920 in words is "eleven trillion, five hundred sixty-six billion, four hundred three million, two hundred fifteen thousand, nine hundred twenty".