557930004480 has 960 divisors, whose sum is σ = 2093732659200. Its totient is φ = 140779192320.

The previous prime is 557930004431. The next prime is 557930004487. The reversal of 557930004480 is 84400039755.

557930004480 is a `hidden beast` number, since 5 + 579 + 30 + 0 + 0 + 4 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×557930004480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (557930004487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5416796109 + ... + 5416796211.

It is an arithmetic number, because the mean of its divisors is an integer number (2180971520).

Almost surely, 2^557930004480 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 557930004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046866329600).

557930004480 is an abundant number, since it is smaller than the sum of its proper divisors (1535802654720).

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

557930004480 is a wasteful number, since it uses less digits than its factorization.

557930004480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 557930004480 in words is "five hundred fifty-seven billion, nine hundred thirty million, four thousand, four hundred eighty".