557050534800 has 240 divisors, whose sum is σ = 1922020911360. Its totient is φ = 137455557120.

The previous prime is 557050534727. The next prime is 557050534811. The reversal of 557050534800 is 8435050755.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×557050534800² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 696307 + ... + 1264493.

It is an arithmetic number, because the mean of its divisors is an integer number (8008420464).

Almost surely, 2^557050534800 is an apocalyptic number.

557050534800 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 557050534800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961010455680).

557050534800 is an abundant number, since it is smaller than the sum of its proper divisors (1364970376560).

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

557050534800 is a wasteful number, since it uses less digits than its factorization.

557050534800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568270 (or 568259 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 42.

The spelling of 557050534800 in words is "five hundred fifty-seven billion, fifty million, five hundred thirty-four thousand, eight hundred".