11444564520 has 320 divisors, whose sum is σ = 39841457040. Its totient is φ = 2944512000.

The previous prime is 11444564429. The next prime is 11444564539. The reversal of 11444564520 is 2546544411.

11444564520 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 4 + 5 + 645 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2202049476 + 9242515044 = 46926^2 + 96138^2 .

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 13416414 + ... + 13417266.

Almost surely, 2^11444564520 is an apocalyptic number.

11444564520 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 11444564520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19920728520).

11444564520 is an abundant number, since it is smaller than the sum of its proper divisors (28396892520).

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

11444564520 is a wasteful number, since it uses less digits than its factorization.

11444564520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 11444564520 in words is "eleven billion, four hundred forty-four million, five hundred sixty-four thousand, five hundred twenty".