561718080000 has 2400 divisors, whose sum is σ = 2692185724800. Its totient is φ = 109117440000.

The previous prime is 561718079981. The next prime is 561718080023. The reversal of 561718080000 is 80817165.

561718080000 is a `hidden beast` number, since 561 + 7 + 18 + 0 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3769919926 + ... + 3769920074.

It is an arithmetic number, because the mean of its divisors is an integer number (1121744052).

Almost surely, 2^561718080000 is an apocalyptic number.

561718080000 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 561718080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346092862400).

561718080000 is an abundant number, since it is smaller than the sum of its proper divisors (2130467644800).

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

561718080000 is a wasteful number, since it uses less digits than its factorization.

561718080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

Adding to 561718080000 its reverse (80817165), we get a palindrome (561798897165).

The spelling of 561718080000 in words is "five hundred sixty-one billion, seven hundred eighteen million, eighty thousand".