557255835648 has 480 divisors, whose sum is σ = 1702604776320. Its totient is φ = 180061470720.

The previous prime is 557255835641. The next prime is 557255835649. The reversal of 557255835648 is 846538552755.

It is a happy number.

557255835648 is a `hidden beast` number, since 5 + 5 + 7 + 2 + 5 + 583 + 5 + 6 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557255835641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2887335840 + ... + 2887336032.

It is an arithmetic number, because the mean of its divisors is an integer number (3547093284).

Almost surely, 2^557255835648 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 557255835648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851302388160).

557255835648 is an abundant number, since it is smaller than the sum of its proper divisors (1145348940672).

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

557255835648 is a wasteful number, since it uses less digits than its factorization.

557255835648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 366 counting only the distinct ones).

The product of its digits is 201600000, while the sum is 63.

The spelling of 557255835648 in words is "five hundred fifty-seven billion, two hundred fifty-five million, eight hundred thirty-five thousand, six hundred forty-eight".