557266206720 has 256 divisors, whose sum is σ = 1790099534880. Its totient is φ = 148031668224.

The previous prime is 557266206691. The next prime is 557266206727. The reversal of 557266206720 is 27602662755.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 557266206720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557266206727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136148994 + ... + 136153086.

Almost surely, 2^557266206720 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 557266206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895049767440).

557266206720 is an abundant number, since it is smaller than the sum of its proper divisors (1232833328160).

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

557266206720 is an equidigital number, since it uses as much as digits as its factorization.

557266206720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 557266206720 in words is "five hundred fifty-seven billion, two hundred sixty-six million, two hundred six thousand, seven hundred twenty".