561093120 has 480 divisors, whose sum is σ = 2298067200. Its totient is φ = 126443520.

The previous prime is 561093103. The next prime is 561093121. The reversal of 561093120 is 21390165.

561093120 is a `hidden beast` number, since 561 + 0 + 93 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×561093120² = 629650978622668800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (561093121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7902685 + ... + 7902755.

It is an arithmetic number, because the mean of its divisors is an integer number (4787640).

Almost surely, 2^561093120 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 561093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149033600).

561093120 is an abundant number, since it is smaller than the sum of its proper divisors (1736974080).

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

561093120 is an equidigital number, since it uses as much as digits as its factorization.

561093120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 561093120 is about 23687.4042478276. The cubic root of 561093120 is about 824.7930279700.

The spelling of 561093120 in words is "five hundred sixty-one million, ninety-three thousand, one hundred twenty".