557828812800 has 2496 divisors, whose sum is σ = 2593650662400. Its totient is φ = 114661785600.

The previous prime is 557828812771. The next prime is 557828812811. The reversal of 557828812800 is 8218828755.

557828812800 is a `hidden beast` number, since 557 + 8 + 2 + 8 + 8 + 1 + 2 + 80 + 0 = 666.

It is a super-2 number, since 2×557828812800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13605580780 + ... + 13605580820.

Almost surely, 2^557828812800 is an apocalyptic number.

557828812800 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 557828812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296825331200).

557828812800 is an abundant number, since it is smaller than the sum of its proper divisors (2035821849600).

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

557828812800 is a wasteful number, since it uses less digits than its factorization.

557828812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 54.

The spelling of 557828812800 in words is "five hundred fifty-seven billion, eight hundred twenty-eight million, eight hundred twelve thousand, eight hundred".