561064560000 has 640 divisors, whose sum is σ = 2136827996160. Its totient is φ = 127733760000.

The previous prime is 561064559959. The next prime is 561064560011. The reversal of 561064560000 is 65460165.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 566159505 + ... + 566160495.

It is an arithmetic number, because the mean of its divisors is an integer number (3338793744).

Almost surely, 2^561064560000 is an apocalyptic number.

561064560000 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 561064560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068413998080).

561064560000 is an abundant number, since it is smaller than the sum of its proper divisors (1575763436160).

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

561064560000 is an equidigital number, since it uses as much as digits as its factorization.

561064560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 561064560000 in words is "five hundred sixty-one billion, sixty-four million, five hundred sixty thousand".