557350352000 has 512 divisors, whose sum is σ = 1572492579840. Its totient is φ = 194912256000.

The previous prime is 557350351979. The next prime is 557350352011. The reversal of 557350352000 is 253053755.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 540591485 + ... + 540592515.

It is an arithmetic number, because the mean of its divisors is an integer number (3071274570).

Almost surely, 2^557350352000 is an apocalyptic number.

557350352000 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 557350352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786246289920).

557350352000 is an abundant number, since it is smaller than the sum of its proper divisors (1015142227840).

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

557350352000 is a wasteful number, since it uses less digits than its factorization.

557350352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 78750, while the sum is 35.

The spelling of 557350352000 in words is "five hundred fifty-seven billion, three hundred fifty million, three hundred fifty-two thousand".