11300504010400 has 288 divisors, whose sum is σ = 31083269168448. Its totient is φ = 3976499404800.

The previous prime is 11300504010377. The next prime is 11300504010431. The reversal of 11300504010400 is 401040500311.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33881247 + ... + 34213153.

It is an arithmetic number, because the mean of its divisors is an integer number (107928017946).

Almost surely, 2^{11300504010400} is an apocalyptic number.

11300504010400 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 11300504010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15541634584224).

11300504010400 is an abundant number, since it is smaller than the sum of its proper divisors (19782765158048).

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

11300504010400 is a wasteful number, since it uses less digits than its factorization.

11300504010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332064 (or 332051 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 11300504010400 its reverse (401040500311), we get a palindrome (11701544510711).

The spelling of 11300504010400 in words is "eleven trillion, three hundred billion, five hundred four million, ten thousand, four hundred".