557088672672 has 144 divisors (see below), whose sum is σ = 1811180891520. Its totient is φ = 159111691776.

The previous prime is 557088672659. The next prime is 557088672731. The reversal of 557088672672 is 276276880755.

557088672672 is a `hidden beast` number, since 557 + 0 + 8 + 8 + 6 + 7 + 2 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

557088672672 is a modest number, since divided by 672672 gives 557088 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5804854 + ... + 5900042.

It is an arithmetic number, because the mean of its divisors is an integer number (12577645080).

Almost surely, 2^557088672672 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 557088672672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905590445760).

557088672672 is an abundant number, since it is smaller than the sum of its proper divisors (1254092218848).

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

557088672672 is a wasteful number, since it uses less digits than its factorization.

557088672672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98115 (or 98104 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 557088672672 in words is "five hundred fifty-seven billion, eighty-eight million, six hundred seventy-two thousand, six hundred seventy-two".