11052445824 has 384 divisors, whose sum is σ = 39544502400. Its totient is φ = 2890432512.

The previous prime is 11052445823. The next prime is 11052445849. The reversal of 11052445824 is 42854425011.

11052445824 is a `hidden beast` number, since 1 + 10 + 524 + 45 + 82 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (11052445823) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5071167 + ... + 5073345.

It is an arithmetic number, because the mean of its divisors is an integer number (102980475).

Almost surely, 2^11052445824 is an apocalyptic number.

11052445824 is a gapful number since it is divisible by the number (14) 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 11052445824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19772251200).

11052445824 is an abundant number, since it is smaller than the sum of its proper divisors (28492056576).

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

11052445824 is a wasteful number, since it uses less digits than its factorization.

11052445824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 11052445824 in words is "eleven billion, fifty-two million, four hundred forty-five thousand, eight hundred twenty-four".