561126113280 has 748 divisors, whose sum is σ = 2089683302940. Its totient is φ = 144473849856.

The previous prime is 561126113279. The next prime is 561126113287. The reversal of 561126113280 is 82311621165.

561126113280 is a `hidden beast` number, since 5 + 6 + 1 + 1 + 2 + 611 + 32 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 247669456896 + 313456656384 = 497664^2 + 559872^2 .

It is a super-3 number, since 3×561126113280³ (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561126113287) by changing a digit.

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 43 ways as a sum of consecutive naturals, for example, 19349176306 + ... + 19349176334.

Almost surely, 2^561126113280 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 561126113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044841651470).

561126113280 is an abundant number, since it is smaller than the sum of its proper divisors (1528557189660).

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

561126113280 is an frugal number, since it uses more digits than its factorization.

561126113280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 561126113280 in words is "five hundred sixty-one billion, one hundred twenty-six million, one hundred thirteen thousand, two hundred eighty".