557066672000 has 512 divisors, whose sum is σ = 1485639792000. Its totient is φ = 207396864000.

The previous prime is 557066671981. The next prime is 557066672003. The reversal of 557066672000 is 276660755.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557066672003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1432047806 + ... + 1432048194.

Almost surely, 2^557066672000 is an apocalyptic number.

557066672000 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 557066672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742819896000).

557066672000 is an abundant number, since it is smaller than the sum of its proper divisors (928573120000).

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

557066672000 is a wasteful number, since it uses less digits than its factorization.

557066672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 44.

The spelling of 557066672000 in words is "five hundred fifty-seven billion, sixty-six million, six hundred seventy-two thousand".