557068512000 has 3456 divisors, whose sum is σ = 2735883730944. Its totient is φ = 97320960000.

The previous prime is 557068511981. The next prime is 557068512023. The reversal of 557068512000 is 215860755.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 557068512000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17969951985 + ... + 17969952015.

It is an arithmetic number, because the mean of its divisors is an integer number (791633024).

Almost surely, 2^557068512000 is an apocalyptic number.

557068512000 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 557068512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367941865472).

557068512000 is an abundant number, since it is smaller than the sum of its proper divisors (2178815218944).

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

557068512000 is a wasteful number, since it uses less digits than its factorization.

557068512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 39.

The spelling of 557068512000 in words is "five hundred fifty-seven billion, sixty-eight million, five hundred twelve thousand".