8053560144 has 120 divisors (see below), whose sum is σ = 27273879360. Its totient is φ = 2165658624.

The previous prime is 8053560143. The next prime is 8053560167. The reversal of 8053560144 is 4410653508.

It is a happy number.

8053560144 is a `hidden beast` number, since 8 + 0 + 5 + 3 + 5 + 601 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8053560099 and 8053560108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8053560143) 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 23 ways as a sum of consecutive naturals, for example, 217854 + ... + 252125.

It is an arithmetic number, because the mean of its divisors is an integer number (227282328).

Almost surely, 2^8053560144 is an apocalyptic number.

8053560144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8053560144 is an abundant number, since it is smaller than the sum of its proper divisors (19220319216).

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

8053560144 is a wasteful number, since it uses less digits than its factorization.

8053560144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470017 (or 470008 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 8053560144 is about 89741.6299383959. The cubic root of 8053560144 is about 2004.4534214915.

The spelling of 8053560144 in words is "eight billion, fifty-three million, five hundred sixty thousand, one hundred forty-four".