560921090016 has 288 divisors, whose sum is σ = 1755239891328. Its totient is φ = 156304512000.

The previous prime is 560921089907. The next prime is 560921090033. The reversal of 560921090016 is 610090129065.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172536391 + ... + 172539641.

It is an arithmetic number, because the mean of its divisors is an integer number (6094582956).

Almost surely, 2^560921090016 is an apocalyptic number.

560921090016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 560921090016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877619945664).

560921090016 is an abundant number, since it is smaller than the sum of its proper divisors (1194318801312).

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

560921090016 is a wasteful number, since it uses less digits than its factorization.

560921090016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4174 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The spelling of 560921090016 in words is "five hundred sixty billion, nine hundred twenty-one million, ninety thousand, sixteen".