11300424000 has 224 divisors, whose sum is σ = 37464650496. Its totient is φ = 3001292800.

The previous prime is 11300423989. The next prime is 11300424007. The reversal of 11300424000 is 42400311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11300424007) 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 31 ways as a sum of consecutive naturals, for example, 7031197 + ... + 7032803.

It is an arithmetic number, because the mean of its divisors is an integer number (167252904).

Almost surely, 2^11300424000 is an apocalyptic number.

11300424000 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 11300424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18732325248).

11300424000 is an abundant number, since it is smaller than the sum of its proper divisors (26164226496).

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

11300424000 is a wasteful number, since it uses less digits than its factorization.

11300424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 11300424000 its reverse (42400311), we get a palindrome (11342824311).

The spelling of 11300424000 in words is "eleven billion, three hundred million, four hundred twenty-four thousand".