557140016300 has 288 divisors, whose sum is σ = 1466426142720. Its totient is φ = 179685273600.

The previous prime is 557140016291. The next prime is 557140016317. The reversal of 557140016300 is 3610041755.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 229936889 + ... + 229939311.

It is an arithmetic number, because the mean of its divisors is an integer number (5091757440).

Almost surely, 2^557140016300 is an apocalyptic number.

557140016300 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 557140016300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733213071360).

557140016300 is an abundant number, since it is smaller than the sum of its proper divisors (909286126420).

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

557140016300 is a wasteful number, since it uses less digits than its factorization.

557140016300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The spelling of 557140016300 in words is "five hundred fifty-seven billion, one hundred forty million, sixteen thousand, three hundred".