561041872300 has 216 divisors, whose sum is σ = 1520594196576. Its totient is φ = 174937605120.

The previous prime is 561041872297. The next prime is 561041872301. The reversal of 561041872300 is 3278140165.

It is a self number, because there is not a number n which added to its sum of digits gives 561041872300.

It is not an unprimeable number, because it can be changed into a prime (561041872301) 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 71 ways as a sum of consecutive naturals, for example, 610491241 + ... + 610492159.

Almost surely, 2^561041872300 is an apocalyptic number.

561041872300 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 561041872300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760297098288).

561041872300 is an abundant number, since it is smaller than the sum of its proper divisors (959552324276).

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

561041872300 is a wasteful number, since it uses less digits than its factorization.

561041872300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

It can be divided in two parts, 561041 and 872300, that added together give a palindrome (1433341).

The spelling of 561041872300 in words is "five hundred sixty-one billion, forty-one million, eight hundred seventy-two thousand, three hundred".