557965168640 has 208 divisors, whose sum is σ = 1464660887040. Its totient is φ = 202343055360.

The previous prime is 557965168633. The next prime is 557965168693. The reversal of 557965168640 is 46861569755.

It is a super-2 number, since 2×557965168640² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87630737 + ... + 87637103.

It is an arithmetic number, because the mean of its divisors is an integer number (7041638880).

Almost surely, 2^557965168640 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 557965168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732330443520).

557965168640 is an abundant number, since it is smaller than the sum of its proper divisors (906695718400).

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

557965168640 is a wasteful number, since it uses less digits than its factorization.

557965168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6796 (or 6774 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 62.

The spelling of 557965168640 in words is "five hundred fifty-seven billion, nine hundred sixty-five million, one hundred sixty-eight thousand, six hundred forty".