561116313600 has 576 divisors, whose sum is σ = 1939150886400. Its totient is φ = 142951710720.

The previous prime is 561116313577. The next prime is 561116313607. The reversal of 561116313600 is 6313611165.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561116313607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 458802589 + ... + 458803811.

It is an arithmetic number, because the mean of its divisors is an integer number (3366581400).

Almost surely, 2^561116313600 is an apocalyptic number.

561116313600 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 561116313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969575443200).

561116313600 is an abundant number, since it is smaller than the sum of its proper divisors (1378034572800).

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

561116313600 is a wasteful number, since it uses less digits than its factorization.

561116313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

Adding to 561116313600 its reverse (6313611165), we get a palindrome (567429924765).

The spelling of 561116313600 in words is "five hundred sixty-one billion, one hundred sixteen million, three hundred thirteen thousand, six hundred".