560153880 has 576 divisors, whose sum is σ = 2302110720. Its totient is φ = 121305600.

The previous prime is 560153857. The next prime is 560153887. The reversal of 560153880 is 88351065.

560153880 is a `hidden beast` number, since 560 + 15 + 3 + 8 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (560153887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18069465 + ... + 18069495.

It is an arithmetic number, because the mean of its divisors is an integer number (3996720).

Almost surely, 2^560153880 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 560153880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151055360).

560153880 is an abundant number, since it is smaller than the sum of its proper divisors (1741956840).

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

560153880 is a wasteful number, since it uses less digits than its factorization.

560153880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 560153880 is about 23667.5702174938. The cubic root of 560153880 is about 824.3325510692.

It can be divided in two parts, 56015 and 3880, that added together give a palindrome (59895).

The spelling of 560153880 in words is "five hundred sixty million, one hundred fifty-three thousand, eight hundred eighty".