561739419360 has 480 divisors, whose sum is σ = 2275172044992. Its totient is φ = 127859834880.

The previous prime is 561739419359. The next prime is 561739419377. The reversal of 561739419360 is 63914937165.

561739419360 is a `hidden beast` number, since 5 + 6 + 1 + 7 + 394 + 193 + 60 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 561739419297 and 561739419306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21850674 + ... + 21876366.

Almost surely, 2^561739419360 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 561739419360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137586022496).

561739419360 is an abundant number, since it is smaller than the sum of its proper divisors (1713432625632).

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

561739419360 is a wasteful number, since it uses less digits than its factorization.

561739419360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25968 (or 25951 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 561739419360 in words is "five hundred sixty-one billion, seven hundred thirty-nine million, four hundred nineteen thousand, three hundred sixty".