11400563050500 has 192 divisors, whose sum is σ = 36068563544832. Its totient is φ = 2781457459200.

The previous prime is 11400563050463. The next prime is 11400563050517. The reversal of 11400563050500 is 505036500411.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 383422 + ... + 4790421.

It is an arithmetic number, because the mean of its divisors is an integer number (187857101796).

Almost surely, 2^{11400563050500} is an apocalyptic number.

11400563050500 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 11400563050500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18034281772416).

11400563050500 is an abundant number, since it is smaller than the sum of its proper divisors (24668000494332).

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

11400563050500 is a wasteful number, since it uses less digits than its factorization.

11400563050500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5173991 (or 5173979 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 11400563050500 its reverse (505036500411), we get a palindrome (11905599550911).

The spelling of 11400563050500 in words is "eleven trillion, four hundred billion, five hundred sixty-three million, fifty thousand, five hundred".