560149346877120 has 8960 divisors, whose sum is σ = 2969309203660800. Its totient is φ = 96345998622720.

The previous prime is 560149346877079. The next prime is 560149346877121. The reversal of 560149346877120 is 21778643941065.

560149346877120 is a `hidden beast` number, since 5 + 6 + 0 + 1 + 4 + 93 + 468 + 77 + 12 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (560149346877121) by changing a digit.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 1439972613886 + ... + 1439972614274.

It is an arithmetic number, because the mean of its divisors is an integer number (331396116480).

It is a 2-persistent number, because it is pandigital, and so is 2⋅560149346877120 = 1120298693754240, but 3⋅560149346877120 = 1680448040631360 is not.

Almost surely, 2^{560149346877120} 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 560149346877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484654601830400).

560149346877120 is an abundant number, since it is smaller than the sum of its proper divisors (2409159856783680).

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

560149346877120 is a wasteful number, since it uses less digits than its factorization.

560149346877120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 560149346877120 in words is "five hundred sixty trillion, one hundred forty-nine billion, three hundred forty-six million, eight hundred seventy-seven thousand, one hundred twenty".