11300486400 has 324 divisors, whose sum is σ = 46175120992. Its totient is φ = 2582876160.

The previous prime is 11300486377. The next prime is 11300486413. The reversal of 11300486400 is 468400311.

11300486400 is a `hidden beast` number, since 1 + 13 + 0 + 0 + 4 + 8 + 640 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 389187 + ... + 417213.

Almost surely, 2^11300486400 is an apocalyptic number.

11300486400 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 11300486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23087560496).

11300486400 is an abundant number, since it is smaller than the sum of its proper divisors (34874634592).

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

11300486400 is a wasteful number, since it uses less digits than its factorization.

11300486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28066 (or 28044 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11300486400 its reverse (468400311), we get a palindrome (11768886711).

The spelling of 11300486400 in words is "eleven billion, three hundred million, four hundred eighty-six thousand, four hundred".