560053115136 has 576 divisors, whose sum is σ = 1813109760000. Its totient is φ = 169848741888.

The previous prime is 560053115129. The next prime is 560053115137. The reversal of 560053115136 is 631511350065.

560053115136 is a `hidden beast` number, since 5 + 600 + 5 + 3 + 1 + 15 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 560053115136.

It is not an unprimeable number, because it can be changed into a prime (560053115137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1169212945 + ... + 1169213423.

It is an arithmetic number, because the mean of its divisors is an integer number (3147760000).

Almost surely, 2^560053115136 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 560053115136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906554880000).

560053115136 is an abundant number, since it is smaller than the sum of its proper divisors (1253056644864).

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

560053115136 is a wasteful number, since it uses less digits than its factorization.

560053115136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 560053115136 in words is "five hundred sixty billion, fifty-three million, one hundred fifteen thousand, one hundred thirty-six".