561192192 has 288 divisors, whose sum is σ = 1855297920. Its totient is φ = 167270400.

The previous prime is 561192187. The next prime is 561192193. The reversal of 561192192 is 291291165.

561192192 is a `hidden beast` number, since 561 + 1 + 9 + 2 + 1 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561192193) 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 31 ways as a sum of consecutive naturals, for example, 9199842 + ... + 9199902.

Almost surely, 2^561192192 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 561192192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927648960).

561192192 is an abundant number, since it is smaller than the sum of its proper divisors (1294105728).

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

561192192 is an equidigital number, since it uses as much as digits as its factorization.

561192192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 77 counting only the distinct ones).

The product of its digits is 9720, while the sum is 36.

The square root of 561192192 is about 23689.4953935283. The cubic root of 561192192 is about 824.8415695775.

It can be divided in two parts, 56119 and 2192, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 561192192 in words is "five hundred sixty-one million, one hundred ninety-two thousand, one hundred ninety-two".