561103186800 has 720 divisors, whose sum is σ = 2025941760000. Its totient is φ = 132543590400.

The previous prime is 561103186789. The next prime is 561103186801. The reversal of 561103186800 is 8681301165.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561103186801) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 936732901 + ... + 936733499.

It is an arithmetic number, because the mean of its divisors is an integer number (2813808000).

Almost surely, 2^561103186800 is an apocalyptic number.

561103186800 is a gapful number since it is divisible by the number (50) 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 561103186800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012970880000).

561103186800 is an abundant number, since it is smaller than the sum of its proper divisors (1464838573200).

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

561103186800 is a wasteful number, since it uses less digits than its factorization.

561103186800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 802 counting only the distinct ones).

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

Adding to 561103186800 its reverse (8681301165), we get a palindrome (569784487965).

The spelling of 561103186800 in words is "five hundred sixty-one billion, one hundred three million, one hundred eighty-six thousand, eight hundred".