557328284100 has 360 divisors, whose sum is σ = 2067009855680. Its totient is φ = 127248641280.

The previous prime is 557328284057. The next prime is 557328284111. The reversal of 557328284100 is 1482823755.

557328284100 is a `hidden beast` number, since 557 + 3 + 2 + 8 + 2 + 84 + 10 + 0 = 666.

It is a super-2 number, since 2×557328284100² (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 an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 56524971 + ... + 56534829.

Almost surely, 2^557328284100 is an apocalyptic number.

557328284100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557328284100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033504927840).

557328284100 is an abundant number, since it is smaller than the sum of its proper divisors (1509681571580).

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

557328284100 is a wasteful number, since it uses less digits than its factorization.

557328284100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10889 (or 10873 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 557328284100 in words is "five hundred fifty-seven billion, three hundred twenty-eight million, two hundred eighty-four thousand, one hundred".