1560056845104 has 320 divisors, whose sum is σ = 4849069639680. Its totient is φ = 478339706880.

The previous prime is 1560056845103. The next prime is 1560056845117. The reversal of 1560056845104 is 4015486500651.

1560056845104 is a `hidden beast` number, since 1 + 5 + 6 + 0 + 0 + 56 + 84 + 510 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1560056845104.

It is not an unprimeable number, because it can be changed into a prime (1560056845103) by changing a digit.

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, 279928462 + ... + 279934034.

It is an arithmetic number, because the mean of its divisors is an integer number (15153342624).

Almost surely, 2^{1560056845104} 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 1560056845104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424534819840).

1560056845104 is an abundant number, since it is smaller than the sum of its proper divisors (3289012794576).

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

1560056845104 is a wasteful number, since it uses less digits than its factorization.

1560056845104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6465 (or 6453 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 1560056845104 in words is "one trillion, five hundred sixty billion, fifty-six million, eight hundred forty-five thousand, one hundred four".