560409477120 has 1152 divisors, whose sum is σ = 2228676871680. Its totient is φ = 134536495104.

The previous prime is 560409477101. The next prime is 560409477157. The reversal of 560409477120 is 21774904065.

560409477120 is a `hidden beast` number, since 56 + 0 + 4 + 0 + 9 + 477 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24365629429 + ... + 24365629451.

It is an arithmetic number, because the mean of its divisors is an integer number (1934615340).

Almost surely, 2^560409477120 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 560409477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114338435840).

560409477120 is an abundant number, since it is smaller than the sum of its proper divisors (1668267394560).

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

560409477120 is an frugal number, since it uses more digits than its factorization.

560409477120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 560409477120 in words is "five hundred sixty billion, four hundred nine million, four hundred seventy-seven thousand, one hundred twenty".