11398540800 has 480 divisors, whose sum is σ = 42013382400. Its totient is φ = 2707292160.

The previous prime is 11398540793. The next prime is 11398540861. The reversal of 11398540800 is 804589311.

11398540800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12402741 + ... + 12403659.

It is an arithmetic number, because the mean of its divisors is an integer number (87527880).

Almost surely, 2^11398540800 is an apocalyptic number.

11398540800 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 11398540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21006691200).

11398540800 is an abundant number, since it is smaller than the sum of its proper divisors (30614841600).

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

11398540800 is a wasteful number, since it uses less digits than its factorization.

11398540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 11398540800 in words is "eleven billion, three hundred ninety-eight million, five hundred forty thousand, eight hundred".