11300042544 has 80 divisors (see below), whose sum is σ = 33520354560. Its totient is φ = 3213262080.

The previous prime is 11300042503. The next prime is 11300042549. The reversal of 11300042544 is 44524000311.

It is a super-2 number, since 2×11300042544² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11300042549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8799 + ... + 150590.

It is an arithmetic number, because the mean of its divisors is an integer number (419004432).

Almost surely, 2^11300042544 is an apocalyptic number.

11300042544 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 11300042544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16760177280).

11300042544 is an abundant number, since it is smaller than the sum of its proper divisors (22220312016).

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

11300042544 is a wasteful number, since it uses less digits than its factorization.

11300042544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159618 (or 159612 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 11300042544 its reverse (44524000311), we get a palindrome (55824042855).

The spelling of 11300042544 in words is "eleven billion, three hundred million, forty-two thousand, five hundred forty-four".