11300354400 has 216 divisors, whose sum is σ = 37715132952. Its totient is φ = 2938880000.

The previous prime is 11300354399. The next prime is 11300354407. The reversal of 11300354400 is 445300311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11300354407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4033000 + ... + 4035800.

It is an arithmetic number, because the mean of its divisors is an integer number (174607097).

Almost surely, 2^11300354400 is an apocalyptic number.

11300354400 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 11300354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18857566476).

11300354400 is an abundant number, since it is smaller than the sum of its proper divisors (26414778552).

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

11300354400 is a wasteful number, since it uses less digits than its factorization.

11300354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 11300354400 its reverse (445300311), we get a palindrome (11745654711).

The spelling of 11300354400 in words is "eleven billion, three hundred million, three hundred fifty-four thousand, four hundred".