561283706880 has 1040 divisors, whose sum is σ = 2295793662624. Its totient is φ = 129950023680.

The previous prime is 561283706861. The next prime is 561283706881. The reversal of 561283706880 is 88607382165.

561283706880 is a `hidden beast` number, since 561 + 2 + 8 + 3 + 70 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1040).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (561283706881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 366611715 + ... + 366613245.

Almost surely, 2^561283706880 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 561283706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147896831312).

561283706880 is an abundant number, since it is smaller than the sum of its proper divisors (1734509955744).

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

561283706880 is a wasteful number, since it uses less digits than its factorization.

561283706880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 561283706880 in words is "five hundred sixty-one billion, two hundred eighty-three million, seven hundred six thousand, eight hundred eighty".