561598894080 has 1560 divisors, whose sum is σ = 2405159632512. Its totient is φ = 125634281472.

The previous prime is 561598894079. The next prime is 561598894117. The reversal of 561598894080 is 80498895165.

561598894080 is a `hidden beast` number, since 5 + 61 + 5 + 98 + 89 + 408 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 561598893999 and 561598894017.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11948912617 + ... + 11948912663.

Almost surely, 2^561598894080 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 561598894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202579816256).

561598894080 is an abundant number, since it is smaller than the sum of its proper divisors (1843560738432).

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

561598894080 is an frugal number, since it uses more digits than its factorization.

561598894080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 561598894080 in words is "five hundred sixty-one billion, five hundred ninety-eight million, eight hundred ninety-four thousand, eighty".