561842524800 has 768 divisors, whose sum is σ = 2179882800000. Its totient is φ = 140925173760.

The previous prime is 561842524783. The next prime is 561842524823. The reversal of 561842524800 is 8425248165.

561842524800 is a `hidden beast` number, since 5 + 6 + 1 + 8 + 42 + 524 + 80 + 0 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 244597252 + ... + 244599548.

Almost surely, 2^561842524800 is an apocalyptic number.

561842524800 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 561842524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089941400000).

561842524800 is an abundant number, since it is smaller than the sum of its proper divisors (1618040275200).

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

561842524800 is a wasteful number, since it uses less digits than its factorization.

561842524800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 561842524800 in words is "five hundred sixty-one billion, eight hundred forty-two million, five hundred twenty-four thousand, eight hundred".