557268012 has 168 divisors, whose sum is σ = 1745162496. Its totient is φ = 152168544.

The previous prime is 557267993. The next prime is 557268013. The reversal of 557268012 is 210862755.

It is a happy number.

557268012 is a `hidden beast` number, since 5 + 572 + 6 + 80 + 1 + 2 = 666.

It is a super-3 number, since 3×557268012³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (557268013) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 468883 + ... + 470069.

It is an arithmetic number, because the mean of its divisors is an integer number (10387872).

Almost surely, 2^557268012 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 557268012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872581248).

557268012 is an abundant number, since it is smaller than the sum of its proper divisors (1187894484).

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

557268012 is a wasteful number, since it uses less digits than its factorization.

557268012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 557268012 is about 23606.5247760021. The cubic root of 557268012 is about 822.9144812165.

The spelling of 557268012 in words is "five hundred fifty-seven million, two hundred sixty-eight thousand, twelve".