561472884000 has 1536 divisors, whose sum is σ = 2423103621120. Its totient is φ = 125187379200.

The previous prime is 561472883977. The next prime is 561472884013. The reversal of 561472884000 is 488274165.

561472884000 is a `hidden beast` number, since 5 + 61 + 472 + 88 + 40 + 0 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 3245507914 + ... + 3245508086.

It is an arithmetic number, because the mean of its divisors is an integer number (1577541420).

Almost surely, 2^561472884000 is an apocalyptic number.

561472884000 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 561472884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211551810560).

561472884000 is an abundant number, since it is smaller than the sum of its proper divisors (1861630737120).

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

561472884000 is an equidigital number, since it uses as much as digits as its factorization.

561472884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 561472884000 in words is "five hundred sixty-one billion, four hundred seventy-two million, eight hundred eighty-four thousand".