561241699200 has 3456 divisors, whose sum is σ = 2842309152000. Its totient is φ = 105584394240.

The previous prime is 561241699169. The next prime is 561241699223. The reversal of 561241699200 is 2996142165.

561241699200 is a `hidden beast` number, since 5 + 612 + 4 + 1 + 6 + 9 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 29539036791 + ... + 29539036809.

Almost surely, 2^561241699200 is an apocalyptic number.

561241699200 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 561241699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421154576000).

561241699200 is an abundant number, since it is smaller than the sum of its proper divisors (2281067452800).

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

561241699200 is a wasteful number, since it uses less digits than its factorization.

561241699200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 561241699200 in words is "five hundred sixty-one billion, two hundred forty-one million, six hundred ninety-nine thousand, two hundred".