575545672224 has 144 divisors (see below), whose sum is σ = 1661893833600. Its totient is φ = 188909480448.

The previous prime is 575545672213. The next prime is 575545672241. The reversal of 575545672224 is 422276545575.

575545672224 is a `hidden beast` number, since 5 + 7 + 5 + 54 + 567 + 2 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8452587 + ... + 8520405.

It is an arithmetic number, because the mean of its divisors is an integer number (11540929400).

Almost surely, 2^575545672224 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 575545672224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830946916800).

575545672224 is an abundant number, since it is smaller than the sum of its proper divisors (1086348161376).

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

575545672224 is a wasteful number, since it uses less digits than its factorization.

575545672224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68287 (or 68276 counting only the distinct ones).

The product of its digits is 23520000, while the sum is 54.

The spelling of 575545672224 in words is "five hundred seventy-five billion, five hundred forty-five million, six hundred seventy-two thousand, two hundred twenty-four".