561083362560 has 576 divisors, whose sum is σ = 2409375628800. Its totient is φ = 120702763008.

The previous prime is 561083362531. The next prime is 561083362597. The reversal of 561083362560 is 65263380165.

561083362560 is a `hidden beast` number, since 5 + 6 + 1 + 0 + 83 + 3 + 6 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 4044426 + ... + 4180854.

It is an arithmetic number, because the mean of its divisors is an integer number (4182943800).

Almost surely, 2^561083362560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561083362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204687814400).

561083362560 is an abundant number, since it is smaller than the sum of its proper divisors (1848292266240).

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

561083362560 is a wasteful number, since it uses less digits than its factorization.

561083362560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136483 (or 136463 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 561083362560 in words is "five hundred sixty-one billion, eighty-three million, three hundred sixty-two thousand, five hundred sixty".