557478535680 has 960 divisors, whose sum is σ = 2278395744768. Its totient is φ = 124444999680.

The previous prime is 557478535651. The next prime is 557478535709. The reversal of 557478535680 is 86535874755.

557478535680 is a `hidden beast` number, since 5 + 57 + 47 + 8 + 535 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (557478535651) and next prime (557478535709).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×557478535680³ (a number of 36 digits) contains 333 as substring.

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, 202497184 + ... + 202499936.

Almost surely, 2^557478535680 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 557478535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139197872384).

557478535680 is an abundant number, since it is smaller than the sum of its proper divisors (1720917209088).

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

557478535680 is a wasteful number, since it uses less digits than its factorization.

557478535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 141120000, while the sum is 63.

The spelling of 557478535680 in words is "five hundred fifty-seven billion, four hundred seventy-eight million, five hundred thirty-five thousand, six hundred eighty".