561204354765600 has 4608 divisors, whose sum is σ = 2604280335390720. Its totient is φ = 113515167744000.

The previous prime is 561204354765557. The next prime is 561204354765611. The reversal of 561204354765600 is 6567453402165.

561204354765600 is a `hidden beast` number, since 5 + 6 + 1 + 2 + 0 + 4 + 3 + 5 + 4 + 76 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 849023229270 + ... + 849023229930.

It is an arithmetic number, because the mean of its divisors is an integer number (565165003340).

Almost surely, 2^{561204354765600} is an apocalyptic number.

561204354765600 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 561204354765600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302140167695360).

561204354765600 is an abundant number, since it is smaller than the sum of its proper divisors (2043075980625120).

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

561204354765600 is a wasteful number, since it uses less digits than its factorization.

561204354765600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 561204354765600 in words is "five hundred sixty-one trillion, two hundred four billion, three hundred fifty-four million, seven hundred sixty-five thousand, six hundred".