561919020 has 192 divisors, whose sum is σ = 1853300736. Its totient is φ = 125890560.

The previous prime is 561919019. The next prime is 561919097. The reversal of 561919020 is 20919165.

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, 410377 + ... + 411743.

It is an arithmetic number, because the mean of its divisors is an integer number (9652608).

Almost surely, 2^561919020 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 561919020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926650368).

561919020 is an abundant number, since it is smaller than the sum of its proper divisors (1291381716).

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

561919020 is a wasteful number, since it uses less digits than its factorization.

561919020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 561919020 is about 23704.8311531637. The cubic root of 561919020 is about 825.1975137745.

The spelling of 561919020 in words is "five hundred sixty-one million, nine hundred nineteen thousand, twenty".