561890508768 has 384 divisors, whose sum is σ = 1761567091200. Its totient is φ = 173721563136.

The previous prime is 561890508743. The next prime is 561890508799. The reversal of 561890508768 is 867805098165.

561890508768 is a `hidden beast` number, since 5 + 61 + 8 + 9 + 0 + 508 + 7 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190276380 + ... + 190279332.

It is an arithmetic number, because the mean of its divisors is an integer number (4587414300).

Almost surely, 2^561890508768 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 561890508768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880783545600).

561890508768 is an abundant number, since it is smaller than the sum of its proper divisors (1199676582432).

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

561890508768 is a wasteful number, since it uses less digits than its factorization.

561890508768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 561890508768 in words is "five hundred sixty-one billion, eight hundred ninety million, five hundred eight thousand, seven hundred sixty-eight".