11563056781300 has 144 divisors (see below), whose sum is σ = 25635659212800. Its totient is φ = 4526101324800.

The previous prime is 11563056781189. The next prime is 11563056781307. The reversal of 11563056781300 is 318765036511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11563056781307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542372041 + ... + 542393359.

It is an arithmetic number, because the mean of its divisors is an integer number (178025411200).

Almost surely, 2^{11563056781300} is an apocalyptic number.

11563056781300 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 11563056781300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12817829606400).

11563056781300 is an abundant number, since it is smaller than the sum of its proper divisors (14072602431500).

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

11563056781300 is a wasteful number, since it uses less digits than its factorization.

11563056781300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21986 (or 21979 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 11563056781300 in words is "eleven trillion, five hundred sixty-three billion, fifty-six million, seven hundred eighty-one thousand, three hundred".